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23205050232 = 23371317336131
BaseRepresentation
bin10101100111001000…
…001111011101111000
32012220012101200121220
4111213020033131320
5340010443101412
614354340432040
71451020446450
oct254710173570
965805350556
1023205050232
119928711771
1245b73a8620
13225a6c4070
1411a1c26d60
1590c31568c
hex56720f778

23205050232 has 128 divisors (see below), whose sum is σ = 71453007360. Its totient is φ = 6115484160.

The previous prime is 23205050177. The next prime is 23205050243.

23205050232 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3781807 + ... + 3787937.

It is an arithmetic number, because the mean of its divisors is an integer number (558226620).

Almost surely, 223205050232 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 23205050232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35726503680).

23205050232 is an abundant number, since it is smaller than the sum of its proper divisors (48247957128).

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

23205050232 is a wasteful number, since it uses less digits than its factorization.

23205050232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

It can be divided in two parts, 232050 and 50232, that added together give a palindrome (282282).

The spelling of 23205050232 in words is "twenty-three billion, two hundred five million, fifty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1733 2184 3466 5199 6131 6932 10398 12131 12262 13864 18393 20796 22529 24262 24524 36393 36786 41592 42917 45058 48524 49048 67587 72786 73572 79703 85834 90116 97048 128751 135174 145572 147144 157703 159406 171668 180232 239109 257502 270348 291144 315406 318812 343336 473109 478218 515004 540696 557921 630812 637624 946218 956436 1030008 1115842 1261624 1673763 1892436 1912872 2231684 3347526 3784872 4463368 6695052 10625023 13390104 21250046 31875069 42500092 63750138 74375161 85000184 127500276 138125299 148750322 223125483 255000552 276250598 297500644 414375897 446250966 552501196 595001288 828751794 892501932 966877093 1105002392 1657503588 1785003864 1933754186 2900631279 3315007176 3867508372 5801262558 7735016744 11602525116 23205050232