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117225664 = 262397821
BaseRepresentation
bin1101111110010…
…11100011000000
322011120200101021
412333023203000
5220002210124
615344315224
72622254533
oct677134300
9264520337
10117225664
1160197416
1233312b14
131b3951ca
14117d6a1a
15a4587e4
hex6fcb8c0

117225664 has 56 divisors (see below), whose sum is σ = 245534688. Its totient is φ = 55418880.

The previous prime is 117225653. The next prime is 117225709. The reversal of 117225664 is 466522711.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142374 + ... + 143194.

It is an arithmetic number, because the mean of its divisors is an integer number (4384548).

Almost surely, 2117225664 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 117225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122767344).

117225664 is an abundant number, since it is smaller than the sum of its proper divisors (128309024).

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

117225664 is an equidigital number, since it uses as much as digits as its factorization.

117225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 117225664 is about 10827.0801234682. The cubic root of 117225664 is about 489.4115718724.

The spelling of 117225664 in words is "one hundred seventeen million, two hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 184 194 368 388 736 776 821 1472 1552 1642 2231 3104 3284 4462 6208 6568 8924 13136 17848 18883 26272 35696 37766 52544 71392 75532 79637 142784 151064 159274 302128 318548 604256 637096 1208512 1274192 1831651 2548384 3663302 5096768 7326604 14653208 29306416 58612832 117225664