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226754304 = 283742179
BaseRepresentation
bin11011000001111…
…11111100000000
3120210200022102120
431200333330000
5431022114204
634300044240
75422244160
oct1540777400
9523608376
10226754304
11106aa6957
1263b33680
1337c93b5a
14221885a0
1514d916d9
hexd83ff00

226754304 has 72 divisors (see below), whose sum is σ = 689727360. Its totient is φ = 64785408.

The previous prime is 226754251. The next prime is 226754321. The reversal of 226754304 is 403457622.

226754304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 15714 + ... + 26465.

Almost surely, 2226754304 is an apocalyptic number.

226754304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226754304 is an abundant number, since it is smaller than the sum of its proper divisors (462973056).

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

226754304 is an equidigital number, since it uses as much as digits as its factorization.

226754304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42205 (or 42191 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 226754304 is about 15058.3632576718. The cubic root of 226754304 is about 609.7968543292.

The spelling of 226754304 in words is "two hundred twenty-six million, seven hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 42179 84358 126537 168716 253074 295253 337432 506148 590506 674864 885759 1012296 1181012 1349728 1771518 2024592 2362024 2699456 3543036 4049184 4724048 5398912 7086072 8098368 9448096 10797824 14172144 16196736 18896192 28344288 32393472 37792384 56688576 75584768 113377152 226754304