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113200224 = 2532973557
BaseRepresentation
bin1101011111101…
…00110001100000
321220000011111220
412233310301200
5212434401344
615122135040
72543120544
oct657646140
9256004456
10113200224
1158998005
1231ab1480
131a5b5ba7
1411069a24
159e10c19
hex6bf4c60

113200224 has 96 divisors (see below), whose sum is σ = 312167520. Its totient is φ = 35868672.

The previous prime is 113200211. The next prime is 113200237. The reversal of 113200224 is 422002311.

It is an interprime number because it is at equal distance from previous prime (113200211) and next prime (113200237).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 202954 + ... + 203510.

It is an arithmetic number, because the mean of its divisors is an integer number (3251745).

Almost surely, 2113200224 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 113200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156083760).

113200224 is an abundant number, since it is smaller than the sum of its proper divisors (198967296).

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

113200224 is a wasteful number, since it uses less digits than its factorization.

113200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 113200224 is about 10639.5593893732. The cubic root of 113200224 is about 483.7441901164.

Adding to 113200224 its reverse (422002311), we get a palindrome (535202535).

The spelling of 113200224 in words is "one hundred thirteen million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 73 87 96 116 146 174 219 232 292 348 438 464 557 584 696 876 928 1114 1168 1392 1671 1752 2117 2228 2336 2784 3342 3504 4234 4456 6351 6684 7008 8468 8912 12702 13368 16153 16936 17824 25404 26736 32306 33872 40661 48459 50808 53472 64612 67744 81322 96918 101616 121983 129224 162644 193836 203232 243966 258448 325288 387672 487932 516896 650576 775344 975864 1179169 1301152 1550688 1951728 2358338 3537507 3903456 4716676 7075014 9433352 14150028 18866704 28300056 37733408 56600112 113200224