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2292016608 = 253372316477
BaseRepresentation
bin1000100010011101…
…0110010111100000
312220201211111201000
42020213112113200
514143224012413
61015233512000
7110540551110
oct21047262740
95821744630
102292016608
11a76869002
1253b712600
132a6b0b45b
1417a591040
15d6346073
hex889d65e0

2292016608 has 192 divisors, whose sum is σ = 7972715520. Its totient is φ = 626351616.

The previous prime is 2292016603. The next prime is 2292016613. The reversal of 2292016608 is 8066102922.

It is a happy number.

2292016608 is a `hidden beast` number, since 2 + 29 + 20 + 1 + 6 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (2292016603) and next prime (2292016613).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292016603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130866 + ... + 147342.

It is an arithmetic number, because the mean of its divisors is an integer number (41524560).

Almost surely, 22292016608 is an apocalyptic number.

2292016608 is a gapful number since it is divisible by the number (28) 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 2292016608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986357760).

2292016608 is an abundant number, since it is smaller than the sum of its proper divisors (5680698912).

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

2292016608 is a wasteful number, since it uses less digits than its factorization.

2292016608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16526 (or 16512 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2292016608 is about 47875.0102663174. The cubic root of 2292016608 is about 1318.4770866319.

The spelling of 2292016608 in words is "two billion, two hundred ninety-two million, sixteen thousand, six hundred eight".