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264256224 = 2532752669
BaseRepresentation
bin11111100000000…
…11101011100000
3200102020121101120
433300003223200
51020122144344
642115532240
76356066211
oct1760035340
9612217346
10264256224
11126190681
12745ba080
134299463b
142714b408
15182ed219
hexfc03ae0

264256224 has 24 divisors (see below), whose sum is σ = 693672840. Its totient is φ = 88085376.

The previous prime is 264256217. The next prime is 264256243. The reversal of 264256224 is 422652462.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1376239 + ... + 1376430.

It is an arithmetic number, because the mean of its divisors is an integer number (28903035).

Almost surely, 2264256224 is an apocalyptic number.

264256224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264256224 is an abundant number, since it is smaller than the sum of its proper divisors (429416616).

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

264256224 is a wasteful number, since it uses less digits than its factorization.

264256224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752682 (or 2752674 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 264256224 is about 16255.9596456192. The cubic root of 264256224 is about 641.7143360849.

The spelling of 264256224 in words is "two hundred sixty-four million, two hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2752669 5505338 8258007 11010676 16516014 22021352 33032028 44042704 66064056 88085408 132128112 264256224