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23205978 = 23210491229
BaseRepresentation
bin101100010000…
…1100001011010
31121122222121200
41120201201122
521420042403
62145215030
7401150625
oct130414132
947588550
1023205978
111210aaa4
127931476
134a66763
143120dbc
152085ca3
hex162185a

23205978 has 24 divisors (see below), whose sum is σ = 50368500. Its totient is φ = 7721664.

The previous prime is 23205977. The next prime is 23206021. The reversal of 23205978 is 87950232.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16378209 + 6827769 = 4047^2 + 2613^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23205971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18268 + ... + 19496.

Almost surely, 223205978 is an apocalyptic number.

23205978 is an abundant number, since it is smaller than the sum of its proper divisors (27162522).

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

23205978 is a wasteful number, since it uses less digits than its factorization.

23205978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 23205978 is about 4817.2583488951. The cubic root of 23205978 is about 285.2331241234.

The spelling of 23205978 in words is "twenty-three million, two hundred five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 1049 1229 2098 2458 3147 3687 6294 7374 9441 11061 18882 22122 1289221 2578442 3867663 7735326 11602989 23205978