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2292306320 = 24528653829
BaseRepresentation
bin1000100010100001…
…1101000110010000
312220202101020010002
42020220131012100
514143312300240
61015244025132
7110543165543
oct21050350620
95822336102
102292306320
11a76a46737
1253b8321a8
132a6bb0295
1417a62885a
15d63a1d15
hex88a1d190

2292306320 has 20 divisors (see below), whose sum is σ = 5329612380. Its totient is φ = 916922496.

The previous prime is 2292306311. The next prime is 2292306323. The reversal of 2292306320 is 236032922.

It can be written as a sum of positive squares in 2 ways, for example, as 1771736464 + 520569856 = 42092^2 + 22816^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2292306323) 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 3 ways as a sum of consecutive naturals, for example, 14326835 + ... + 14326994.

It is an arithmetic number, because the mean of its divisors is an integer number (266480619).

Almost surely, 22292306320 is an apocalyptic number.

2292306320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2292306320 is an abundant number, since it is smaller than the sum of its proper divisors (3037306060).

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

2292306320 is a wasteful number, since it uses less digits than its factorization.

2292306320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28653842 (or 28653836 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 2292306320 is about 47878.0358828555. The cubic root of 2292306320 is about 1318.5326363371.

The spelling of 2292306320 in words is "two billion, two hundred ninety-two million, three hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28653829 57307658 114615316 143269145 229230632 286538290 458461264 573076580 1146153160 2292306320