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117524224 = 283159251
BaseRepresentation
bin1110000000101…
…00011100000000
322012010211221001
413000110130000
5220041233344
615354541344
72624640136
oct700243400
9265124831
10117524224
1160380764
1233437854
131b46b07c
1411873756
15a4b6ed4
hex7014700

117524224 has 72 divisors (see below), whose sum is σ = 247242240. Its totient is φ = 55680000.

The previous prime is 117524221. The next prime is 117524237. The reversal of 117524224 is 422425711.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 117524192 and 117524201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117524221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468099 + ... + 468349.

It is an arithmetic number, because the mean of its divisors is an integer number (3433920).

Almost surely, 2117524224 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 117524224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

117524224 is an abundant number, since it is smaller than the sum of its proper divisors (129718016).

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

117524224 is an equidigital number, since it uses as much as digits as its factorization.

117524224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 343 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 117524224 is about 10840.8590065548. The cubic root of 117524224 is about 489.8267109016.

Adding to 117524224 its reverse (422425711), we get a palindrome (539949935).

The spelling of 117524224 in words is "one hundred seventeen million, five hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 128 236 248 251 256 472 496 502 944 992 1004 1829 1888 1984 2008 3658 3776 3968 4016 7316 7552 7781 7936 8032 14632 14809 15104 15562 16064 29264 29618 31124 32128 58528 59236 62248 64256 117056 118472 124496 234112 236944 248992 459079 468224 473888 497984 918158 947776 995968 1836316 1895552 1991936 3672632 3791104 7345264 14690528 29381056 58762112 117524224