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2292695040 = 2143519491
BaseRepresentation
bin1000100010100111…
…1100000000000000
312220210002222100010
42020221330000000
514143412220130
61015300224520
7110546405046
oct21051740000
95823088303
102292695040
11a77191799
1253b99b140
132a6cb81ac
1417a6ca396
15d642c0b0
hex88a7c000

2292695040 has 240 divisors, whose sum is σ = 7738254720. Its totient is φ = 578027520.

The previous prime is 2292695023. The next prime is 2292695063. The reversal of 2292695040 is 405962922.

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 2292695040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4669195 + ... + 4669685.

It is an arithmetic number, because the mean of its divisors is an integer number (32242728).

Almost surely, 22292695040 is an apocalyptic number.

2292695040 is a gapful number since it is divisible by the number (20) 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 2292695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869127360).

2292695040 is an abundant number, since it is smaller than the sum of its proper divisors (5445559680).

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

2292695040 is an equidigital number, since it uses as much as digits as its factorization.

2292695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2292695040 is about 47882.0951922532. The cubic root of 2292695040 is about 1318.6071625952.

The spelling of 2292695040 in words is "two billion, two hundred ninety-two million, six hundred ninety-five thousand, forty".