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253224096 = 25319138829
BaseRepresentation
bin11110001011111…
…10010010100000
3122122111010011020
433011332102200
51004311132341
641043245440
76163240446
oct1705762240
9578433136
10253224096
1111aa36014
1270979880
1340601058
14258b8b96
151736e566
hexf17e4a0

253224096 has 48 divisors (see below), whose sum is σ = 699703200. Its totient is φ = 79964928.

The previous prime is 253224053. The next prime is 253224107. The reversal of 253224096 is 690422352.

253224096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67591 + ... + 71238.

It is an arithmetic number, because the mean of its divisors is an integer number (14577150).

Almost surely, 2253224096 is an apocalyptic number.

It is an amenable number.

253224096 is an abundant number, since it is smaller than the sum of its proper divisors (446479104).

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

253224096 is a wasteful number, since it uses less digits than its factorization.

253224096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138861 (or 138853 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 253224096 is about 15913.0165587798. The cubic root of 253224096 is about 632.6570371479.

The spelling of 253224096 in words is "two hundred fifty-three million, two hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 138829 277658 416487 555316 832974 1110632 1665948 2221264 2637751 3331896 4442528 5275502 6663792 7913253 10551004 13327584 15826506 21102008 31653012 42204016 63306024 84408032 126612048 253224096