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1057225224 = 233117395419
BaseRepresentation
bin111111000000111…
…111101000001000
32201200100121100210
4333000333220020
54131122201344
6252524001120
735125160166
oct7700775010
92650317323
101057225224
114a2859a60
122560901a0
1313b055173
14a05a6236
1562c36db9
hex3f03fa08

1057225224 has 64 divisors (see below), whose sum is σ = 2887776000. Its totient is φ = 319878720.

The previous prime is 1057225217. The next prime is 1057225297. The reversal of 1057225224 is 4225227501.

1057225224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 325152-1.

It is a super-2 number, since 2×10572252242 = 2235450348523700352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057225191 and 1057225200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192387 + ... + 197805.

It is an arithmetic number, because the mean of its divisors is an integer number (45121500).

Almost surely, 21057225224 is an apocalyptic number.

It is an amenable number.

1057225224 is an abundant number, since it is smaller than the sum of its proper divisors (1830550776).

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

1057225224 is a wasteful number, since it uses less digits than its factorization.

1057225224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 1057225224 is about 32514.9999846225. Note that the first 4 decimals coincide. The cubic root of 1057225224 is about 1018.7223603276.

The spelling of 1057225224 in words is "one billion, fifty-seven million, two hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 739 1478 2217 2956 4434 5419 5912 8129 8868 10838 16257 16258 17736 21676 24387 32514 32516 43352 48774 59609 65028 65032 97548 119218 130056 178827 195096 238436 357654 476872 715308 1430616 4004641 8009282 12013923 16018564 24027846 32037128 44051051 48055692 88102102 96111384 132153153 176204204 264306306 352408408 528612612 1057225224