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113658228 = 22341937499
BaseRepresentation
bin1101100011001…
…00100101110100
321220212102210000
412301210211310
5213044030403
615140031300
72550036045
oct661444564
9256772700
10113658228
1159180122
1232092530
131a7164b8
14111488cc
159ea17a3
hex6c64974

113658228 has 120 divisors (see below), whose sum is σ = 321860000. Its totient is φ = 34852032.

The previous prime is 113658227. The next prime is 113658257. The reversal of 113658228 is 822856311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 113658192 and 113658201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113658227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 227523 + ... + 228021.

Almost surely, 2113658228 is an apocalyptic number.

113658228 is a gapful number since it is divisible by the number (18) 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 113658228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160930000).

113658228 is an abundant number, since it is smaller than the sum of its proper divisors (208201772).

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

113658228 is a wasteful number, since it uses less digits than its factorization.

113658228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 560 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 113658228 is about 10661.0612980134. The cubic root of 113658228 is about 484.3957160366.

The spelling of 113658228 in words is "one hundred thirteen million, six hundred fifty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 81 108 111 114 148 162 171 222 228 324 333 342 444 499 513 666 684 703 998 999 1026 1332 1406 1497 1539 1996 1998 2052 2109 2812 2994 2997 3078 3996 4218 4491 5988 5994 6156 6327 8436 8982 9481 11988 12654 13473 17964 18463 18962 18981 25308 26946 28443 36926 37924 37962 40419 53892 55389 56886 56943 73852 75924 80838 85329 110778 113772 113886 161676 166167 170658 221556 227772 255987 332334 341316 350797 498501 511974 664668 701594 767961 997002 1023948 1052391 1403188 1495503 1535922 1994004 2104782 2991006 3071844 3157173 4209564 5982012 6314346 9471519 12628692 18943038 28414557 37886076 56829114 113658228