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223414042422420 = 2232516710271723617
BaseRepresentation
bin110010110011000110100010…
…101000101110110010010100
31002022001011200202020011212100
4302303012202220232302110
5213240403424330004140
62111054554425122100
765026063146200553
oct6263064250566224
91068034622204770
10223414042422420
11652063aa612243
122108317a929330
139787b13a54025
143d25423cd7d9a
151ac67a2c75530
hexcb31a2a2ec94

223414042422420 has 144 divisors (see below), whose sum is σ = 681814599717888. Its totient is φ = 59214481397760.

The previous prime is 223414042422397. The next prime is 223414042422457. The reversal of 223414042422420 is 24224240414322.

223414042422420 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 1 + 4 + 0 + 424 + 224 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308384452 + ... + 309108068.

It is an arithmetic number, because the mean of its divisors is an integer number (4734823609152).

Almost surely, 2223414042422420 is an apocalyptic number.

223414042422420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223414042422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340907299858944).

223414042422420 is an abundant number, since it is smaller than the sum of its proper divisors (458400557295468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223414042422420 is a wasteful number, since it uses less digits than its factorization.

223414042422420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734070 (or 734065 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 223414042422420 its reverse (24224240414322), we get a palindrome (247638282836742).

The spelling of 223414042422420 in words is "two hundred twenty-three trillion, four hundred fourteen billion, forty-two million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 10271 15030 20542 30060 30813 41084 51355 61626 92439 102710 123252 154065 184878 205420 308130 369756 462195 616260 723617 924390 1447234 1715257 1848780 2170851 2894468 3430514 3618085 4341702 5145771 6512553 6861028 7236170 8576285 8683404 10291542 10854255 13025106 14472340 15437313 17152570 20583084 21708510 25728855 26050212 30874626 32562765 34305140 43417020 51457710 61749252 65125530 77186565 102915420 120844039 130251060 154373130 241688078 308746260 362532117 483376156 604220195 725064234 1087596351 1208440390 1450128468 1812660585 2175192702 2416880780 3625321170 4350385404 5437981755 7250642340 7432270207 10875963510 14864540414 21751927020 22296810621 29729080828 37161351035 44593621242 66890431863 74322702070 89187242484 111484053105 133780863726 148645404140 222968106210 267561727452 334452159315 445936212420 668904318630 1241189124569 1337808637260 2482378249138 3723567373707 4964756498276 6205945622845 7447134747414 11170702121121 12411891245690 14894269494828 18617836868535 22341404242242 24823782491380 37235673737070 44682808484484 55853510605605 74471347474140 111707021211210 223414042422420