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117227952 = 2433893049
BaseRepresentation
bin1101111110011…
…00000110110000
322011120210112000
412333030012300
5220002243302
615344334000
72622264312
oct677140660
9264523460
10117227952
1160199106
1233314300
131b39626a
14117d77b2
15a45931c
hex6fcc1b0

117227952 has 80 divisors (see below), whose sum is σ = 340380000. Its totient is φ = 38624256.

The previous prime is 117227921. The next prime is 117227977. The reversal of 117227952 is 259722711.

117227952 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×1172279522 = 27484785460228608, which contains 22 as substring.

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

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, 36924 + ... + 39972.

It is an arithmetic number, because the mean of its divisors is an integer number (4254750).

Almost surely, 2117227952 is an apocalyptic number.

117227952 is a gapful number since it is divisible by the number (12) 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 117227952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170190000).

117227952 is an abundant number, since it is smaller than the sum of its proper divisors (223152048).

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

117227952 is a wasteful number, since it uses less digits than its factorization.

117227952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3143 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 117227952 is about 10827.1857839422. The cubic root of 117227952 is about 489.4147559487.

The spelling of 117227952 in words is "one hundred seventeen million, two hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 356 432 534 712 801 1068 1424 1602 2136 2403 3049 3204 4272 4806 6098 6408 9147 9612 12196 12816 18294 19224 24392 27441 36588 38448 48784 54882 73176 82323 109764 146352 164646 219528 271361 329292 439056 542722 658584 814083 1085444 1317168 1628166 2170888 2442249 3256332 4341776 4884498 6512664 7326747 9768996 13025328 14653494 19537992 29306988 39075984 58613976 117227952