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23001433404 = 223291133531657
BaseRepresentation
bin10101011010111111…
…100000010100111100
32012101000020212211220
4111122333200110330
5334101331332104
614322224313340
71442665646415
oct253277402474
965330225756
1023001433404
1198337893a4
12455b172850
132227471731
141182b8280c
158e94e47d9
hex55afe053c

23001433404 has 96 divisors (see below), whose sum is σ = 56204608320. Its totient is φ = 7312048128.

The previous prime is 23001433387. The next prime is 23001433471. The reversal of 23001433404 is 40433410032.

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, 13880544 + ... + 13882200.

It is an arithmetic number, because the mean of its divisors is an integer number (585464670).

Almost surely, 223001433404 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 23001433404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28102304160).

23001433404 is an abundant number, since it is smaller than the sum of its proper divisors (33203174916).

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

23001433404 is a wasteful number, since it uses less digits than its factorization.

23001433404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23001433404 its reverse (40433410032), we get a palindrome (63434843436).

The spelling of 23001433404 in words is "twenty-three billion, one million, four hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 58 87 113 116 174 226 339 348 353 452 678 706 1059 1356 1412 1657 2118 3277 3314 4236 4971 6554 6628 9831 9942 10237 13108 19662 19884 20474 30711 39324 39889 40948 48053 61422 79778 96106 119667 122844 144159 159556 187241 192212 239334 288318 374482 478668 561723 576636 584921 748964 1123446 1156781 1169842 1754763 2246892 2313562 2339684 3470343 3509526 4627124 5429989 6940686 7019052 10859978 13881372 16289967 16962709 21719956 32579934 33925418 50888127 65159868 66096073 67850836 101776254 132192146 198288219 203552508 264384292 396576438 793152876 1916786117 3833572234 5750358351 7667144468 11500716702 23001433404