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23023020032 = 211171993323
BaseRepresentation
bin10101011100010001…
…110110100000000000
32012102111212121010122
4111130101312200000
5334122343120112
614324315115412
71443350304245
oct253421664000
965374777118
1023023020032
119844992791
124566442b68
13222ba8c09c
1411859a15cc
158eb35a872
hex55c476800

23023020032 has 96 divisors (see below), whose sum is σ = 49002408000. Its totient is φ = 10776674304.

The previous prime is 23023020001. The next prime is 23023020071. The reversal of 23023020032 is 23002032032.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6926723 + ... + 6930045.

It is an arithmetic number, because the mean of its divisors is an integer number (510441750).

Almost surely, 223023020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23023020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24501204000).

23023020032 is an abundant number, since it is smaller than the sum of its proper divisors (25979387968).

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

23023020032 is a wasteful number, since it uses less digits than its factorization.

23023020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 23023020032 its reverse (23002032032), we get a palindrome (46025052064).

The spelling of 23023020032 in words is "twenty-three billion, twenty-three million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 199 256 272 398 512 544 796 1024 1088 1592 2048 2176 3184 3323 3383 4352 6368 6646 6766 8704 12736 13292 13532 17408 25472 26584 27064 34816 50944 53168 54128 56491 101888 106336 108256 112982 203776 212672 216512 225964 407552 425344 433024 451928 661277 850688 866048 903856 1322554 1701376 1732096 1807712 2645108 3402752 3464192 3615424 5290216 6805504 6928384 7230848 10580432 11241709 14461696 21160864 22483418 28923392 42321728 44966836 57846784 84643456 89933672 115693568 169286912 179867344 338573824 359734688 677147648 719469376 1354295296 1438938752 2877877504 5755755008 11511510016 23023020032