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2292469344 = 253311312251
BaseRepresentation
bin1000100010100100…
…0100111001100000
312220202200111202000
42020221010321200
514143333004334
61015251324000
7110544445044
oct21051047140
95822614660
102292469344
11a77048170
1253b8b0600
132a6c39549
1417a66c024
15d63d5299
hex88a44e60

2292469344 has 288 divisors, whose sum is σ = 7567136640. Its totient is φ = 669600000.

The previous prime is 2292469331. The next prime is 2292469357. The reversal of 2292469344 is 4439642922.

2292469344 is a `hidden beast` number, since 229 + 24 + 69 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (2292469331) and next prime (2292469357).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2292469344.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9133219 + ... + 9133469.

It is an arithmetic number, because the mean of its divisors is an integer number (26274780).

Almost surely, 22292469344 is an apocalyptic number.

2292469344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2292469344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783568320).

2292469344 is an abundant number, since it is smaller than the sum of its proper divisors (5274667296).

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

2292469344 is a wasteful number, since it uses less digits than its factorization.

2292469344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 298 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 2292469344 is about 47879.7383451497. The cubic root of 2292469344 is about 1318.5638926846.

The spelling of 2292469344 in words is "two billion, two hundred ninety-two million, four hundred sixty-nine thousand, three hundred forty-four".