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2292240384 = 212357247
BaseRepresentation
bin1000100010100000…
…1101000000000000
312220202020212200000
42020220031000000
514143303143014
61015242400000
7110542502400
oct21050150000
95822225600
102292240384
11a76a01145
1253b800000
132a6b89275
1417a60c800
15d638c509
hex88a0d000

2292240384 has 468 divisors, whose sum is σ = 8157449664. Its totient is φ = 640991232.

The previous prime is 2292240343. The next prime is 2292240403. The reversal of 2292240384 is 4830422922.

2292240384 is a `hidden beast` number, since 229 + 22 + 403 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48771049 + ... + 48771095.

It is an arithmetic number, because the mean of its divisors is an integer number (17430448).

Almost surely, 22292240384 is an apocalyptic number.

2292240384 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 2292240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078724832).

2292240384 is an abundant number, since it is smaller than the sum of its proper divisors (5865209280).

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

2292240384 is an frugal number, since it uses more digits than its factorization.

2292240384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2292240384 is about 47877.3472949369. The cubic root of 2292240384 is about 1318.5199941056.

The spelling of 2292240384 in words is "two billion, two hundred ninety-two million, two hundred forty thousand, three hundred eighty-four".