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232224311022 = 23113532272417
BaseRepresentation
bin1101100001000110100…
…1011100011011101110
3211012102010000021222020
43120101221130123232
512301043410423042
6254403220531010
722530510034434
oct3302151343356
9735363007866
10232224311022
118a53862a000
123900b550a66
1318b8b478332
14b34dad4d54
1560924bd3ec
hex3611a5c6ee

232224311022 has 128 divisors (see below), whose sum is σ = 523006668288. Its totient is φ = 68710653440.

The previous prime is 232224311003. The next prime is 232224311051. The reversal of 232224311022 is 220113422232.

It is a junction number, because it is equal to n+sod(n) for n = 232224310983 and 232224311001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96078358 + ... + 96080774.

It is an arithmetic number, because the mean of its divisors is an integer number (4085989596).

Almost surely, 2232224311022 is an apocalyptic number.

232224311022 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 232224311022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261503334144).

232224311022 is an abundant number, since it is smaller than the sum of its proper divisors (290782357266).

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

232224311022 is a wasteful number, since it uses less digits than its factorization.

232224311022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 232224311022 its reverse (220113422232), we get a palindrome (452337733254).

The spelling of 232224311022 in words is "two hundred thirty-two billion, two hundred twenty-four million, three hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 227 242 318 363 454 583 681 726 1166 1331 1362 1749 2417 2497 2662 3498 3993 4834 4994 6413 7251 7491 7986 12031 12826 14502 14982 19239 24062 26587 27467 36093 38478 53174 54934 70543 72186 79761 82401 128101 132341 141086 159522 164802 211629 256202 264682 292457 302137 384303 397023 423258 548659 584914 604274 768606 794046 877371 906411 1097318 1409111 1455751 1645977 1754742 1812822 2818222 2911502 3217027 3291954 4227333 4367253 6035249 6434054 8454666 8734506 9651081 12070498 15500221 16013261 18105747 19302162 29078927 31000442 32026522 36211494 46500663 48039783 58157854 66387739 87236781 93001326 96079566 132775478 170502431 174473562 199163217 319868197 341004862 398326434 511507293 639736394 730265129 959604591 1023014586 1460530258 1919209182 2190795387 3518550167 4381590774 7037100334 10555650501 21111301002 38704051837 77408103674 116112155511 232224311022