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2290634688 = 26366118049
BaseRepresentation
bin1000100010001000…
…0100111111000000
312220122020022001210
42020202010333000
514142400302223
61015144130120
7110523034146
oct21042047700
95818208053
102290634688
11a76004821
1253b166940
132a6746454
1417a311596
15d6171893
hex88884fc0

2290634688 has 56 divisors (see below), whose sum is σ = 6070142800. Its totient is φ = 762347520.

The previous prime is 2290634683. The next prime is 2290634693. The reversal of 2290634688 is 8864360922.

It is an interprime number because it is at equal distance from previous prime (2290634683) and next prime (2290634693).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290634683) 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 7 ways as a sum of consecutive naturals, for example, 117888 + ... + 135936.

Almost surely, 22290634688 is an apocalyptic number.

It is an amenable number.

2290634688 is an abundant number, since it is smaller than the sum of its proper divisors (3779508112).

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

2290634688 is a wasteful number, since it uses less digits than its factorization.

2290634688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18725 (or 18715 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2290634688 is about 47860.5755084495. The cubic root of 2290634688 is about 1318.2120512978.

The spelling of 2290634688 in words is "two billion, two hundred ninety million, six hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 661 1322 1983 2644 3966 5288 7932 10576 15864 18049 21152 31728 36098 42304 54147 63456 72196 108294 126912 144392 216588 288784 433176 577568 866352 1155136 1732704 3465408 11930389 23860778 35791167 47721556 71582334 95443112 143164668 190886224 286329336 381772448 572658672 763544896 1145317344 2290634688