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135628224 = 2633122787
BaseRepresentation
bin10000001010110…
…00010111000000
3100110012121221120
420011120113000
5234210100344
621242552240
73234551364
oct1005302700
9313177846
10135628224
116a616546
1239508680
13221394b4
14140272a4
15bd91219
hex81585c0

135628224 has 56 divisors (see below), whose sum is σ = 370441728. Its totient is φ = 43749120.

The previous prime is 135628223. The next prime is 135628231. The reversal of 135628224 is 422826531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135628223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5442 + ... + 17345.

Almost surely, 2135628224 is an apocalyptic number.

It is an amenable number.

135628224 is an abundant number, since it is smaller than the sum of its proper divisors (234813504).

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

135628224 is a wasteful number, since it uses less digits than its factorization.

135628224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22833 (or 22823 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 135628224 is about 11645.9531168557. The cubic root of 135628224 is about 513.7872920639.

The spelling of 135628224 in words is "one hundred thirty-five million, six hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 22787 45574 68361 91148 136722 182296 273444 364592 546888 706397 729184 1093776 1412794 1458368 2119191 2187552 2825588 4238382 4375104 5651176 8476764 11302352 16953528 22604704 33907056 45209408 67814112 135628224