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914157216 = 25327453451
BaseRepresentation
bin110110011111001…
…110111010100000
32100201010222221200
4312133032322200
53333011012331
6230413321200
731440131250
oct6637167240
92321128850
10914157216
1142a021935
12216196200
1311751253b
14895a3960
15553c65e6
hex367ceea0

914157216 has 72 divisors (see below), whose sum is σ = 2971017504. Its totient is φ = 261187200.

The previous prime is 914157193. The next prime is 914157221. The reversal of 914157216 is 612751419.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224710 + ... + 228741.

It is an arithmetic number, because the mean of its divisors is an integer number (41264132).

Almost surely, 2914157216 is an apocalyptic number.

914157216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

914157216 is an abundant number, since it is smaller than the sum of its proper divisors (2056860288).

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

914157216 is a wasteful number, since it uses less digits than its factorization.

914157216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453474 (or 453463 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 914157216 is about 30235.0329253996. The cubic root of 914157216 is about 970.5255295169.

The spelling of 914157216 in words is "nine hundred fourteen million, one hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 453451 906902 1360353 1813804 2720706 3174157 3627608 4081059 5441412 6348314 7255216 8162118 9522471 10882824 12696628 14510432 16324236 19044942 21765648 25393256 28567413 32648472 38089884 43531296 50786512 57134826 65296944 76179768 101573024 114269652 130593888 152359536 228539304 304719072 457078608 914157216