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215621449380 = 223253797333769
BaseRepresentation
bin1100100011010000001…
…0100011011010100100
3202121120000210112110200
43020310002203122210
512013043042340010
6243015523550500
721402205036131
oct3106402433244
9677500715420
10215621449380
1183498761347
123595722b430
1317443833b4c
14a616a73588
15591eae1cc0
hex32340a36a4

215621449380 has 144 divisors (see below), whose sum is σ = 678655876080. Its totient is φ = 55368105984.

The previous prime is 215621449369. The next prime is 215621449457. The reversal of 215621449380 is 83944126512.

215621449380 is a `hidden beast` number, since 2 + 1 + 56 + 214 + 4 + 9 + 380 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13515457536 + 202105991844 = 116256^2 + 449562^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 479136 + ... + 812904.

Almost surely, 2215621449380 is an apocalyptic number.

215621449380 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 215621449380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339327938040).

215621449380 is an abundant number, since it is smaller than the sum of its proper divisors (463034426700).

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

215621449380 is a wasteful number, since it uses less digits than its factorization.

215621449380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333918 (or 333913 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 215621449380 in words is "two hundred fifteen billion, six hundred twenty-one million, four hundred forty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 97 111 148 180 185 194 222 291 333 370 388 444 485 555 582 666 740 873 970 1110 1164 1332 1455 1665 1746 1940 2220 2910 3330 3492 3589 4365 5820 6660 7178 8730 10767 14356 17460 17945 21534 32301 35890 43068 53835 64602 71780 107670 129204 161505 215340 323010 333769 646020 667538 1001307 1335076 1668845 2002614 3003921 3337690 4005228 5006535 6007842 6675380 10013070 12015684 12349453 15019605 20026140 24698906 30039210 32375593 37048359 49397812 60078420 61747265 64751186 74096718 97126779 111145077 123494530 129502372 148193436 161877965 185241795 194253558 222290154 246989060 291380337 323755930 370483590 388507116 444580308 485633895 555725385 582760674 647511860 740967180 971267790 1111450770 1165521348 1197896941 1456901685 1942535580 2222901540 2395793882 2913803370 3593690823 4791587764 5827606740 5989484705 7187381646 10781072469 11978969410 14374763292 17968454115 21562144938 23957938820 35936908230 43124289876 53905362345 71873816460 107810724690 215621449380