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2225315916 = 223424128499
BaseRepresentation
bin1000010010100011…
…1010000001001100
312202002022202120000
42010220322001030
514024140102131
61004452124300
7106100605335
oct20450720114
95662282500
102225315916
11a4215086a
12521306690
132960565a5
1417178b28c
15d056cce6
hex84a3a04c

2225315916 has 60 divisors (see below), whose sum is σ = 5841759000. Its totient is φ = 738668160.

The previous prime is 2225315879. The next prime is 2225315923. The reversal of 2225315916 is 6195135222.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63835 + ... + 92333.

It is an arithmetic number, because the mean of its divisors is an integer number (97362650).

Almost surely, 22225315916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225315916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920879500).

2225315916 is an abundant number, since it is smaller than the sum of its proper divisors (3616443084).

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

2225315916 is a wasteful number, since it uses less digits than its factorization.

2225315916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28756 (or 28745 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 2225315916 is about 47173.2542443279. The cubic root of 2225315916 is about 1305.5611696726.

The spelling of 2225315916 in words is "two billion, two hundred twenty-five million, three hundred fifteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 324 482 723 964 1446 2169 2892 4338 6507 8676 13014 19521 26028 28499 39042 56998 78084 85497 113996 170994 256491 341988 512982 769473 1025964 1538946 2308419 3077892 4616838 6868259 9233676 13736518 20604777 27473036 41209554 61814331 82419108 123628662 185442993 247257324 370885986 556328979 741771972 1112657958 2225315916