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117722016 = 25321512707
BaseRepresentation
bin1110000010001…
…00101110100000
322012111220020200
413001010232200
5220114101031
615403105200
72626422606
oct701045640
9265456220
10117722016
11604a6325
1233512200
131b50a0c9
14118c5876
15a5058e6
hex7044ba0

117722016 has 72 divisors (see below), whose sum is σ = 337113504. Its totient is φ = 38966400.

The previous prime is 117721987. The next prime is 117722021. The reversal of 117722016 is 610227711.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1177220162 = 27716946102208512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42135 + ... + 44841.

It is an arithmetic number, because the mean of its divisors is an integer number (4682132).

Almost surely, 2117722016 is an apocalyptic number.

117722016 is a gapful number since it is divisible by the number (16) 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 117722016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168556752).

117722016 is an abundant number, since it is smaller than the sum of its proper divisors (219391488).

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

117722016 is a wasteful number, since it uses less digits than its factorization.

117722016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 117722016 is about 10849.9776958296. The cubic root of 117722016 is about 490.1013479106.

Adding to 117722016 its reverse (610227711), we get a palindrome (727949727).

The spelling of 117722016 in words is "one hundred seventeen million, seven hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2707 2718 3624 4832 5414 5436 7248 8121 10828 10872 14496 16242 21656 21744 24363 32484 43312 43488 48726 64968 86624 97452 129936 194904 259872 389808 408757 779616 817514 1226271 1635028 2452542 3270056 3678813 4905084 6540112 7357626 9810168 13080224 14715252 19620336 29430504 39240672 58861008 117722016