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2232288288 = 25332583667
BaseRepresentation
bin1000010100001110…
…0000010000100000
312202120102222212000
42011003200100200
514032431211123
61005301404000
7106214065056
oct20503402040
95676388760
102232288288
11a4608325a
12523709600
13297628059
141726841d6
15d0e98b43
hex850e0420

2232288288 has 48 divisors (see below), whose sum is σ = 6510843360. Its totient is φ = 744095808.

The previous prime is 2232288277. The next prime is 2232288301. The reversal of 2232288288 is 8828822322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×22322882883 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1290970 + ... + 1292697.

It is an arithmetic number, because the mean of its divisors is an integer number (135642570).

Almost surely, 22232288288 is an apocalyptic number.

It is an amenable number.

2232288288 is an abundant number, since it is smaller than the sum of its proper divisors (4278555072).

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

2232288288 is a wasteful number, since it uses less digits than its factorization.

2232288288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583686 (or 2583672 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 2232288288 is about 47247.0981966089. The cubic root of 2232288288 is about 1306.9232785386.

The spelling of 2232288288 in words is "two billion, two hundred thirty-two million, two hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2583667 5167334 7751001 10334668 15502002 20669336 23253003 31004004 41338672 46506006 62008008 69759009 82677344 93012012 124016016 139518018 186024024 248032032 279036036 372048048 558072072 744096096 1116144144 2232288288