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118722816 = 28322272
BaseRepresentation
bin1110001001110…
…01000100000000
322021101202002100
413010321010000
5220343112231
615440350400
72641061442
oct704710400
9267352070
10118722816
116101a233
1233915400
131b79a7b4
1411aa6492
15a6521e6
hex7139100

118722816 has 81 divisors (see below), whose sum is σ = 343821751. Its totient is φ = 39399936.

The previous prime is 118722797. The next prime is 118722817. The reversal of 118722816 is 618227811.

The square root of 118722816 is 10896.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118722817) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 522895 + ... + 523121.

Almost surely, 2118722816 is an apocalyptic number.

118722816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

118722816 is the 10896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118722816

118722816 is an abundant number, since it is smaller than the sum of its proper divisors (225098935).

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

118722816 is an frugal number, since it uses more digits than its factorization.

118722816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 232 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The cubic root of 118722816 is about 491.4862771867.

Multiplying 118722816 by its sum of digits (36), we get a square (4274021376 = 653762).

118722816 divided by its sum of digits (36) gives a square (3297856 = 18162).

The spelling of 118722816 in words is "one hundred eighteen million, seven hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 227 256 288 384 454 576 681 768 908 1152 1362 1816 2043 2304 2724 3632 4086 5448 7264 8172 10896 14528 16344 21792 29056 32688 43584 51529 58112 65376 87168 103058 130752 154587 174336 206116 261504 309174 412232 463761 523008 618348 824464 927522 1236696 1648928 1855044 2473392 3297856 3710088 4946784 6595712 7420176 9893568 13191424 14840352 19787136 29680704 39574272 59361408 118722816