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113256220 = 225711251293
BaseRepresentation
bin1101100000000…
…10011100011100
321220010000022211
412300002130130
5212443144340
615123250204
72543443030
oct660023434
9256100284
10113256220
1158a26090
1231b19964
131a60551c
14110821c0
159e225ea
hex6c0271c

113256220 has 96 divisors (see below), whose sum is σ = 298722816. Its totient is φ = 35040000.

The previous prime is 113256203. The next prime is 113256251. The reversal of 113256220 is 22652311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 113256191 and 113256200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386394 + ... + 386686.

It is an arithmetic number, because the mean of its divisors is an integer number (3111696).

Almost surely, 2113256220 is an apocalyptic number.

113256220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113256220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149361408).

113256220 is an abundant number, since it is smaller than the sum of its proper divisors (185466596).

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

113256220 is a wasteful number, since it uses less digits than its factorization.

113256220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 113256220 is about 10642.1905639769. The cubic root of 113256220 is about 483.8239404724.

The spelling of 113256220 in words is "one hundred thirteen million, two hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 251 293 308 385 502 586 770 1004 1172 1255 1465 1540 1757 2051 2510 2761 2930 3223 3514 4102 5020 5522 5860 6446 7028 8204 8785 10255 11044 12892 13805 16115 17570 19327 20510 22561 27610 32230 35140 38654 41020 45122 55220 64460 73543 77308 90244 96635 112805 147086 193270 225610 294172 367715 386540 451220 514801 735430 808973 1029602 1470860 1617946 2059204 2574005 3235892 4044865 5148010 5662811 8089730 10296020 11325622 16179460 22651244 28314055 56628110 113256220