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23023313334 = 23277913716883
BaseRepresentation
bin10101011100010010…
…111110000110110110
32012102112102111110200
4111130102332012312
5334122432011314
614324325301330
71443352635330
oct253422760666
965375374420
1023023313334
11984507308a
124566564846
13222bb62738
141185a3a450
158eb3b7709
hex55c4be1b6

23023313334 has 96 divisors (see below), whose sum is σ = 58156600320. Its totient is φ = 6447033216.

The previous prime is 23023313321. The next prime is 23023313359. The reversal of 23023313334 is 43331332032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23023313298 and 23023313307.

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 47 ways as a sum of consecutive naturals, for example, 1355257 + ... + 1372139.

It is an arithmetic number, because the mean of its divisors is an integer number (605797920).

Almost surely, 223023313334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23023313334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29078300160).

23023313334 is an abundant number, since it is smaller than the sum of its proper divisors (35133286986).

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

23023313334 is a wasteful number, since it uses less digits than its factorization.

23023313334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17114 (or 17111 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 23023313334 its reverse (43331332032), we get a palindrome (66354645366).

The spelling of 23023313334 in words is "twenty-three billion, twenty-three million, three hundred thirteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 137 158 237 274 411 474 553 711 822 959 1106 1233 1422 1659 1918 2466 2877 3318 4977 5754 8631 9954 10823 16883 17262 21646 32469 33766 50649 64938 75761 97407 101298 118181 151522 151947 194814 227283 236362 303894 354543 454566 681849 709086 1063629 1333757 1363698 2127258 2312971 2667514 4001271 4625942 6938913 8002542 9336299 12003813 13877826 16190797 18672598 20816739 24007626 28008897 32381594 41633478 48572391 56017794 84026691 97144782 145717173 168053382 182724709 291434346 365449418 548174127 1096348254 1279072963 1644522381 2558145926 3289044762 3837218889 7674437778 11511656667 23023313334