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74228256 = 25321715161
BaseRepresentation
bin1000110110010…
…10001000100000
312011200012000200
410123022020200
5123000301011
611210545200
71560633624
oct433121040
9164605020
1074228256
1138999873
1220a38200
13124bc25b
149c03184
1567b3856
hex46ca220

74228256 has 72 divisors (see below), whose sum is σ = 223518204. Its totient is φ = 23285760.

The previous prime is 74228243. The next prime is 74228267. The reversal of 74228256 is 65282247.

It can be written as a sum of positive squares in 2 ways, for example, as 71978256 + 2250000 = 8484^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 74228256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2685 + ... + 12476.

Almost surely, 274228256 is an apocalyptic number.

It is an amenable number.

74228256 is an abundant number, since it is smaller than the sum of its proper divisors (149289948).

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

74228256 is a wasteful number, since it uses less digits than its factorization.

74228256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15194 (or 15183 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 74228256 is about 8615.5821625703. The cubic root of 74228256 is about 420.2648669440.

The spelling of 74228256 in words is "seventy-four million, two hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 15161 30322 45483 60644 90966 121288 136449 181932 242576 257737 272898 363864 485152 515474 545796 727728 773211 1030948 1091592 1455456 1546422 2061896 2183184 2319633 3092844 4123792 4366368 4639266 6185688 8247584 9278532 12371376 18557064 24742752 37114128 74228256