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113274216 = 233211891607
BaseRepresentation
bin1101100000001…
…10110101101000
321220010221000100
412300012311220
5212444233331
615123505400
72543546346
oct660066550
9256127010
10113274216
1158a38660
1231b28260
131a610783
1411088996
159e27ae6
hex6c06d68

113274216 has 96 divisors (see below), whose sum is σ = 338644800. Its totient is φ = 33918720.

The previous prime is 113274211. The next prime is 113274233. The reversal of 113274216 is 612472311.

It is a self number, because there is not a number n which added to its sum of digits gives 113274216.

It is not an unprimeable number, because it can be changed into a prime (113274211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69685 + ... + 71291.

It is an arithmetic number, because the mean of its divisors is an integer number (3527550).

Almost surely, 2113274216 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 113274216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169322400).

113274216 is an abundant number, since it is smaller than the sum of its proper divisors (225370584).

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

113274216 is a wasteful number, since it uses less digits than its factorization.

113274216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1712 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 113274216 is about 10643.0360330124. The cubic root of 113274216 is about 483.8495650680.

The spelling of 113274216 in words is "one hundred thirteen million, two hundred seventy-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 89 99 132 178 198 264 267 356 396 534 712 792 801 979 1068 1602 1607 1958 2136 2937 3204 3214 3916 4821 5874 6408 6428 7832 8811 9642 11748 12856 14463 17622 17677 19284 23496 28926 35244 35354 38568 53031 57852 70488 70708 106062 115704 141416 143023 159093 212124 286046 318186 424248 429069 572092 636372 858138 1144184 1272744 1287207 1573253 1716276 2574414 3146506 3432552 4719759 5148828 6293012 9439518 10297656 12586024 14159277 18879036 28318554 37758072 56637108 113274216