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23046305 = 517241389
BaseRepresentation
bin101011111101…
…0100010100001
31121100212120212
41113322202201
521344440210
62141543505
7366614252
oct127724241
947325525
1023046305
1112011037
127874b95
134a0bb89
1430bcb29
152053805
hex15fa8a1

23046305 has 24 divisors (see below), whose sum is σ = 30171960. Its totient is φ = 16885760.

The previous prime is 23046239. The next prime is 23046313. The reversal of 23046305 is 50364032.

It can be written as a sum of positive squares in 12 ways, for example, as 7118224 + 15928081 = 2668^2 + 3991^2 .

It is not a de Polignac number, because 23046305 - 214 = 23029921 is a prime.

It is a super-2 number, since 2×230463052 = 1062264348306050, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 59051 + ... + 59439.

It is an arithmetic number, because the mean of its divisors is an integer number (1257165).

Almost surely, 223046305 is an apocalyptic number.

It is an amenable number.

23046305 is a deficient number, since it is larger than the sum of its proper divisors (7125655).

23046305 is a wasteful number, since it uses less digits than its factorization.

23046305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 23046305 is about 4800.6567259074. The cubic root of 23046305 is about 284.5774182561.

The spelling of 23046305 in words is "twenty-three million, forty-six thousand, three hundred five".

Divisors: 1 5 17 41 85 205 289 389 697 1445 1945 3485 6613 11849 15949 33065 59245 79745 112421 271133 562105 1355665 4609261 23046305