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2292564640 = 25514328529
BaseRepresentation
bin1000100010100101…
…1100001010100000
312220202212100110111
42020221130022200
514143344032030
61015253341104
7110545322632
oct21051341240
95822770414
102292564640
11a77102823
1253b937794
132a6c70a32
1417a694a52
15d640362a
hex88a5c2a0

2292564640 has 24 divisors (see below), whose sum is σ = 5416184340. Its totient is φ = 917025792.

The previous prime is 2292564623. The next prime is 2292564641. The reversal of 2292564640 is 464652922.

It can be written as a sum of positive squares in 2 ways, for example, as 2080454544 + 212110096 = 45612^2 + 14564^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2292564593 and 2292564602.

It is not an unprimeable number, because it can be changed into a prime (2292564641) 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, 7164105 + ... + 7164424.

Almost surely, 22292564640 is an apocalyptic number.

2292564640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2292564640 is an abundant number, since it is smaller than the sum of its proper divisors (3123619700).

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

2292564640 is a wasteful number, since it uses less digits than its factorization.

2292564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14328544 (or 14328536 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 2292564640 is about 47880.7334947993. The cubic root of 2292564640 is about 1318.5821629578.

The spelling of 2292564640 in words is "two billion, two hundred ninety-two million, five hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 14328529 28657058 57314116 71642645 114628232 143285290 229256464 286570580 458512928 573141160 1146282320 2292564640