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125228224 = 26112103157
BaseRepresentation
bin1110111011011…
…01010011000000
322201122020211101
413131231103000
5224024300344
620232024144
73050264602
oct735552300
9281566741
10125228224
1164762900
1235b32054
131cc37854
14128bb172
15aed99d4
hex776d4c0

125228224 has 84 divisors (see below), whose sum is σ = 277552912. Its totient is φ = 56010240.

The previous prime is 125228219. The next prime is 125228237. The reversal of 125228224 is 422822521.

125228224 = 19322 + 19332 + ... + 19642.

It is a junction number, because it is equal to n+sod(n) for n = 125228192 and 125228201.

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, 797554 + ... + 797710.

Almost surely, 2125228224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138776456).

125228224 is an abundant number, since it is smaller than the sum of its proper divisors (152324688).

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

125228224 is a wasteful number, since it uses less digits than its factorization.

125228224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 273 counting only the distinct ones).

The product of its digits is 5120, while the sum is 28.

The square root of 125228224 is about 11190.5417205781. The cubic root of 125228224 is about 500.3041136589.

The spelling of 125228224 in words is "one hundred twenty-five million, two hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 121 157 176 206 242 314 352 412 484 628 704 824 968 1133 1256 1648 1727 1936 2266 2512 3296 3454 3872 4532 5024 6592 6908 7744 9064 10048 12463 13816 16171 18128 18997 24926 27632 32342 36256 37994 49852 55264 64684 72512 75988 99704 110528 129368 151976 177881 199408 258736 303952 355762 398816 517472 607904 711524 797632 1034944 1215808 1423048 1956691 2846096 3913382 5692192 7826764 11384384 15653528 31307056 62614112 125228224