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2290768032 = 2537373953
BaseRepresentation
bin1000100010001010…
…0101100010100000
312220122111001222110
42020202211202200
514142414034112
61015151035320
7110524131000
oct21042454240
95818431873
102290768032
11a76095a23
1253b20bb40
132a6792057
1417a348000
15d619b13c
hex888a58a0

2290768032 has 192 divisors, whose sum is σ = 7116076800. Its totient is φ = 644861952.

The previous prime is 2290768027. The next prime is 2290768091. The reversal of 2290768032 is 2308670922.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2403268 + ... + 2404220.

It is an arithmetic number, because the mean of its divisors is an integer number (37062900).

Almost surely, 22290768032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290768032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558038400).

2290768032 is an abundant number, since it is smaller than the sum of its proper divisors (4825308768).

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

2290768032 is an equidigital number, since it uses as much as digits as its factorization.

2290768032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2290768032 is about 47861.9685345265. The cubic root of 2290768032 is about 1318.2376296900.

The spelling of 2290768032 in words is "two billion, two hundred ninety million, seven hundred sixty-eight thousand, thirty-two".