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1225655208 = 233240941621
BaseRepresentation
bin100100100001110…
…0000001110101000
310011102021201212100
41021003200032220
510002231431313
6321342013400
742241616541
oct11103401650
93142251770
101225655208
11579939998
122a2577260
13166c0798b
14b8acb4c8
1572907173
hex490e03a8

1225655208 has 48 divisors (see below), whose sum is σ = 3327678900. Its totient is φ = 407543040.

The previous prime is 1225655201. The next prime is 1225655267. The reversal of 1225655208 is 8025565221.

It is a happy number.

1225655208 is a `hidden beast` number, since 122 + 5 + 6 + 5 + 520 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1176627204 + 49028004 = 34302^2 + 7002^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1225655201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8638 + ... + 50258.

Almost surely, 21225655208 is an apocalyptic number.

1225655208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1225655208 is an abundant number, since it is smaller than the sum of its proper divisors (2102023692).

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

1225655208 is a wasteful number, since it uses less digits than its factorization.

1225655208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42042 (or 42035 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1225655208 is about 35009.3588630240. The cubic root of 1225655208 is about 1070.1782123754.

The spelling of 1225655208 in words is "one billion, two hundred twenty-five million, six hundred fifty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 409 818 1227 1636 2454 3272 3681 4908 7362 9816 14724 29448 41621 83242 124863 166484 249726 332968 374589 499452 749178 998904 1498356 2996712 17022989 34045978 51068967 68091956 102137934 136183912 153206901 204275868 306413802 408551736 612827604 1225655208