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23024242032 = 2431123964229
BaseRepresentation
bin10101011100010110…
…100000110101110000
32012102121011200101220
4111130112200311300
5334123201221112
614324401225040
71443363554031
oct253426406560
965377150356
1023024242032
119845647900
124566932180
13222c0c936c
141185bdca88
158eb4ec98c
hex55c5a0d70

23024242032 has 60 divisors (see below), whose sum is σ = 65378081160. Its totient is φ = 6977041280.

The previous prime is 23024241967. The next prime is 23024242037.

It is a happy number.

23024242032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230242420322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23024241993 and 23024242011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23024242037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1976307 + ... + 1987922.

It is an arithmetic number, because the mean of its divisors is an integer number (1089634686).

Almost surely, 223024242032 is an apocalyptic number.

23024242032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23024242032 is an abundant number, since it is smaller than the sum of its proper divisors (42353839128).

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

23024242032 is a wasteful number, since it uses less digits than its factorization.

23024242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964262 (or 3964245 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The spelling of 23024242032 in words is "twenty-three billion, twenty-four million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 3964229 7928458 11892687 15856916 23785374 31713832 43606519 47570748 63427664 87213038 95141496 130819557 174426076 190282992 261639114 348852152 479671709 523278228 697704304 959343418 1046556456 1439015127 1918686836 2093112912 2878030254 3837373672 5756060508 7674747344 11512121016 23024242032