Search a number
-
+
223076141310462 = 231131479587241973
BaseRepresentation
bin110010101110001011110110…
…001010010010000111111110
31002020211212111211200011201220
4302232023312022102013332
5213214334414133413322
62110235433051414210
764662501511140426
oct6256136612220776
91066755454604656
10223076141310462
1165096073206620
1221029798454366
139761cb396186b
143d12d2b265486
151abcac7ec755c
hexcae2f62921fe

223076141310462 has 128 divisors (see below), whose sum is σ = 513157211947008. Its totient is φ = 64019403139200.

The previous prime is 223076141310443. The next prime is 223076141310467. The reversal of 223076141310462 is 264013141670322.

It is a super-3 number, since 3×2230761413104623 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223076141310467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921784108 + ... + 922026080.

It is an arithmetic number, because the mean of its divisors is an integer number (4009040718336).

Almost surely, 2223076141310462 is an apocalyptic number.

223076141310462 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 223076141310462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256578605973504).

223076141310462 is an abundant number, since it is smaller than the sum of its proper divisors (290081070636546).

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

223076141310462 is a wasteful number, since it uses less digits than its factorization.

223076141310462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251654.

The product of its (nonzero) digits is 290304, while the sum is 42.

Adding to 223076141310462 its reverse (264013141670322), we get a palindrome (487089282980784).

The spelling of 223076141310462 in words is "two hundred twenty-three trillion, seventy-six billion, one hundred forty-one million, three hundred ten thousand, four hundred sixty-two".

Divisors: 1 2 3 6 11 22 31 33 47 62 66 93 94 141 186 282 341 517 682 1023 1034 1457 1551 2046 2914 3102 4371 8742 9587 16027 19174 28761 32054 48081 57522 96162 105457 210914 241973 297197 316371 450589 483946 594394 632742 725919 891591 901178 1351767 1451838 1783182 2661703 2703534 3269167 4956479 5323406 6538334 7501163 7985109 9807501 9912958 11372731 13968259 14869437 15002326 15970218 19615002 22503489 22745462 27936518 29738874 34118193 41904777 45006978 68236386 82512793 83809554 125100041 153650849 165025586 247538379 250200082 307301698 352554661 375300123 460952547 495076758 705109322 750600246 921905094 1057663983 2115327966 2319795151 3878101271 4639590302 6959385453 7756202542 11634303813 13918770906 23268607626 25517746661 51035493322 71913649681 76553239983 109030372097 143827299362 153106479966 215740949043 218060744194 327091116291 431481898086 654182232582 791050146491 1199334093067 1582100292982 2373150439473 2398668186134 3379941535007 3598002279201 4746300878946 6759883070014 7196004558402 10139824605021 20279649210042 37179356885077 74358713770154 111538070655231 223076141310462