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23262402642234 = 23721271494181357
BaseRepresentation
bin1010100101000001100110…
…01111110000000100111010
310001100212022211121010212220
411102200303033300010322
511022112400034022414
6121250333352544510
74620440010650400
oct522406317600472
9101325284533786
1023262402642234
117459590929708
1227384ab6b2136
13cc9834592482
145a5c98c35470
152a519619aca9
hex1528333f013a

23262402642234 has 96 divisors (see below), whose sum is σ = 54912938342400. Its totient is φ = 6549809841792.

The previous prime is 23262402642233. The next prime is 23262402642317. The reversal of 23262402642234 is 43224620426232.

It is a super-2 number, since 2×232624026422342 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23262402642233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3472684 + ... + 7654040.

It is an arithmetic number, because the mean of its divisors is an integer number (572009774400).

Almost surely, 223262402642234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23262402642234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27456469171200).

23262402642234 is an abundant number, since it is smaller than the sum of its proper divisors (31650535700166).

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

23262402642234 is a wasteful number, since it uses less digits than its factorization.

23262402642234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181652 (or 4181645 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 23262402642234 in words is "twenty-three trillion, two hundred sixty-two billion, four hundred two million, six hundred forty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 127 147 149 254 294 298 381 447 762 889 894 1043 1778 2086 2667 3129 5334 6223 6258 7301 12446 14602 18669 18923 21903 37338 37846 43806 56769 113538 132461 264922 397383 794766 927227 1854454 2781681 4181357 5563362 8362714 12544071 25088142 29269499 58538998 87808497 175616994 204886493 409772986 531032339 614659479 623022193 1062064678 1229318958 1246044386 1593097017 1869066579 3186194034 3717226373 3738133158 4361155351 7434452746 8722310702 11151679119 13083466053 22303358238 26020584611 26166932106 30528087457 52041169222 61056174914 78061753833 79123818511 91584262371 156123507666 158247637022 183168524742 237371455533 474742911066 553866729577 1107733459154 1661600188731 3323200377462 3877067107039 7754134214078 11631201321117 23262402642234