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253214190 = 23255874793
BaseRepresentation
bin11110001011110…
…11110111101110
3122122110121120100
433011323313232
51004310323230
641043131530
76163166535
oct1705736756
9578417510
10253214190
1111aa29629
1270973ba6
13405c96a8
14258b531c
151736b660
hexf17bdee

253214190 has 48 divisors (see below), whose sum is σ = 659616048. Its totient is φ = 67394688.

The previous prime is 253214179. The next prime is 253214191. The reversal of 253214190 is 91412352.

253214190 is a `hidden beast` number, since 2 + 532 + 1 + 41 + 90 = 666.

It is a super-2 number, since 2×2532141902 = 128234852034712200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253214191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50434 + ... + 55226.

It is an arithmetic number, because the mean of its divisors is an integer number (13742001).

Almost surely, 2253214190 is an apocalyptic number.

253214190 is an abundant number, since it is smaller than the sum of its proper divisors (406401858).

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

253214190 is a wasteful number, since it uses less digits than its factorization.

253214190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5393 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 253214190 is about 15912.7053011108. The cubic root of 253214190 is about 632.6487872980.

The spelling of 253214190 in words is "two hundred fifty-three million, two hundred fourteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 587 1174 1761 2935 3522 4793 5283 5870 8805 9586 10566 14379 17610 23965 26415 28758 43137 47930 52830 71895 86274 143790 215685 431370 2813491 5626982 8440473 14067455 16880946 25321419 28134910 42202365 50642838 84404730 126607095 253214190