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23122806304 = 2513675931399
BaseRepresentation
bin10101100010001110…
…100000011000100000
32012200110122021011111
4111202032200120200
5334323414300204
614342241553104
71446001416313
oct254216403040
965613567144
1023122806304
119896248684
124593945794
132246659510
141194d3897a
15904ebbd04
hex5623a0620

23122806304 has 96 divisors (see below), whose sum is σ = 49876041600. Its totient is φ = 10487549952.

The previous prime is 23122806277. The next prime is 23122806323. The reversal of 23122806304 is 40360822132.

It is a super-3 number, since 3×231228063043 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16527397 + ... + 16528795.

It is an arithmetic number, because the mean of its divisors is an integer number (519542100).

Almost surely, 223122806304 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 23122806304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24938020800).

23122806304 is an abundant number, since it is smaller than the sum of its proper divisors (26753235296).

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

23122806304 is a wasteful number, since it uses less digits than its factorization.

23122806304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 23122806304 in words is "twenty-three billion, one hundred twenty-two million, eight hundred six thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 208 268 416 536 593 871 1072 1186 1399 1742 2144 2372 2798 3484 4744 5596 6968 7709 9488 11192 13936 15418 18187 18976 22384 27872 30836 36374 39731 44768 61672 72748 79462 93733 123344 145496 158924 187466 246688 290992 317848 374932 516503 581984 635696 749864 829607 1033006 1218529 1271392 1499728 1659214 2066012 2437058 2999456 3318428 4132024 4874116 6636856 8264048 9748232 10784891 13273712 16528096 19496464 21569782 26547424 38992928 43139564 55583669 86279128 111167338 172558256 222334676 345116512 444669352 722587697 889338704 1445175394 1778677408 2890350788 5780701576 11561403152 23122806304