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117235332 = 223217191561
BaseRepresentation
bin1101111110011…
…01111010000100
322011121011122100
412333031322010
5220003012312
615344432100
72622324654
oct677157204
9264534570
10117235332
11601a3705
1233318630
131b399726
14117da364
15a45b5dc
hex6fcde84

117235332 has 36 divisors (see below), whose sum is σ = 313778556. Its totient is φ = 36779520.

The previous prime is 117235331. The next prime is 117235333. The reversal of 117235332 is 233532711.

It is an interprime number because it is at equal distance from previous prime (117235331) and next prime (117235333).

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 68459076 = 6984^2 + 8274^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 117235296 and 117235305.

It is not an unprimeable number, because it can be changed into a prime (117235331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95169 + ... + 96392.

It is an arithmetic number, because the mean of its divisors is an integer number (8716071).

Almost surely, 2117235332 is an apocalyptic number.

117235332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117235332 is an abundant number, since it is smaller than the sum of its proper divisors (196543224).

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

117235332 is a wasteful number, since it uses less digits than its factorization.

117235332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191588 (or 191583 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 117235332 is about 10827.5265873606. The cubic root of 117235332 is about 489.4250259826.

The spelling of 117235332 in words is "one hundred seventeen million, two hundred thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 191561 383122 574683 766244 1149366 1724049 2298732 3256537 3448098 6513074 6896196 9769611 13026148 19539222 29308833 39078444 58617666 117235332