Search a number
-
+
622334016 = 2634120049
BaseRepresentation
bin100101000110000…
…001000001000000
31121101000211210000
4211012001001000
52233304142031
6141430440000
721264515613
oct4506010100
91541024700
10622334016
1129a322837
12154503000
139bc184a5
145c91c17a
15399803e6
hex25181040

622334016 has 70 divisors (see below), whose sum is σ = 1844808350. Its totient is φ = 207442944.

The previous prime is 622333993. The next prime is 622334029. The reversal of 622334016 is 610433226.

622334016 is a `hidden beast` number, since 622 + 3 + 34 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 617025600 + 5308416 = 24840^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 54841 + ... + 65208.

It is an arithmetic number, because the mean of its divisors is an integer number (26354405).

Almost surely, 2622334016 is an apocalyptic number.

It is an amenable number.

622334016 is an abundant number, since it is smaller than the sum of its proper divisors (1222474334).

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

622334016 is a wasteful number, since it uses less digits than its factorization.

622334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120073 (or 120054 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 622334016 is about 24946.6233386404. The cubic root of 622334016 is about 853.7705691141.

The spelling of 622334016 in words is "six hundred twenty-two million, three hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 120049 240098 360147 480196 720294 960392 1080441 1440588 1920784 2160882 2881176 3241323 3841568 4321764 5762352 6482646 7683136 8643528 9723969 11524704 12965292 17287056 19447938 23049408 25930584 34574112 38895876 51861168 69148224 77791752 103722336 155583504 207444672 311167008 622334016