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23138208 = 253280341
BaseRepresentation
bin101100001000…
…0111110100000
31121112112122200
41120100332200
521410410313
62143533200
7400446222
oct130207640
947475580
1023138208
1112074095
1278ba200
134a41962
143104412
152070b73
hex1610fa0

23138208 has 36 divisors (see below), whose sum is σ = 65800098. Its totient is φ = 7712640.

The previous prime is 23138197. The next prime is 23138237. The reversal of 23138208 is 80283132.

It can be written as a sum of positive squares in only one way, i.e., 15586704 + 7551504 = 3948^2 + 2748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39883 + ... + 40458.

Almost surely, 223138208 is an apocalyptic number.

It is an amenable number.

23138208 is an abundant number, since it is smaller than the sum of its proper divisors (42661890).

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

23138208 is a wasteful number, since it uses less digits than its factorization.

23138208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80357 (or 80346 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 23138208 is about 4810.2191218280. The cubic root of 23138208 is about 284.9551914781.

The spelling of 23138208 in words is "twenty-three million, one hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 80341 160682 241023 321364 482046 642728 723069 964092 1285456 1446138 1928184 2570912 2892276 3856368 5784552 7712736 11569104 23138208