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2225015331 = 371123418787
BaseRepresentation
bin1000010010011111…
…0000101000100011
312202001202111020020
42010213300220203
514024100442311
61004441444523
7106065214110
oct20447605043
95661674206
102225015331
11a41a65a50
125211a0743
13295c7c826
1417170d907
15d050dc06
hex849f0a23

2225015331 has 32 divisors (see below), whose sum is σ = 3859550208. Its totient is φ = 1105595040.

The previous prime is 2225015269. The next prime is 2225015357. The reversal of 2225015331 is 1335105222.

It is a happy number.

It is not a de Polignac number, because 2225015331 - 210 = 2225014307 is a prime.

It is a super-2 number, since 2×22250153312 = 9901386446370079122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2225015371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204081 + ... + 214706.

It is an arithmetic number, because the mean of its divisors is an integer number (120610944).

Almost surely, 22225015331 is an apocalyptic number.

2225015331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2225015331 is a deficient number, since it is larger than the sum of its proper divisors (1634534877).

2225015331 is a wasteful number, since it uses less digits than its factorization.

2225015331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418831.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2225015331 is about 47170.0681682781. The cubic root of 2225015331 is about 1305.5023840455.

The spelling of 2225015331 in words is "two billion, two hundred twenty-five million, fifteen thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 23 33 69 77 161 231 253 483 759 1771 5313 418787 1256361 2931509 4606657 8794527 9632101 13819971 28896303 32246599 67424707 96739797 105953111 202274121 317859333 741671777 2225015331