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231280224 = 2537344167
BaseRepresentation
bin11011100100100…
…00111001100000
3121010012020211020
431302100321200
5433201431344
634541045440
75505564240
oct1562207140
9533166736
10231280224
1110960828a
1265556880
1338bb9c06
1422a05b20
1515487719
hexdc90e60

231280224 has 48 divisors (see below), whose sum is σ = 693842688. Its totient is φ = 66079872.

The previous prime is 231280201. The next prime is 231280237. The reversal of 231280224 is 422082132.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 231280194 and 231280203.

It is a congruent number.

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, 171412 + ... + 172755.

It is an arithmetic number, because the mean of its divisors is an integer number (14455056).

Almost surely, 2231280224 is an apocalyptic number.

231280224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231280224 is an abundant number, since it is smaller than the sum of its proper divisors (462562464).

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

231280224 is a wasteful number, since it uses less digits than its factorization.

231280224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344187 (or 344179 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 231280224 is about 15207.9000522755. The cubic root of 231280224 is about 613.8272528417.

The spelling of 231280224 in words is "two hundred thirty-one million, two hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 344167 688334 1032501 1376668 2065002 2409169 2753336 4130004 4818338 5506672 7227507 8260008 9636676 11013344 14455014 16520016 19273352 28910028 33040032 38546704 57820056 77093408 115640112 231280224