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2290356288 = 2632112231621
BaseRepresentation
bin1000100010000100…
…0001000001000000
312220121201011011200
42020201001001000
514142312400123
61015134141200
7110520464403
oct21041010100
95817634150
102290356288
11a75934640
1253b051800
132a667980c
1417a27bd3a
15d6119143
hex88841040

2290356288 has 168 divisors, whose sum is σ = 7198254336. Its totient is φ = 690508800.

The previous prime is 2290356253. The next prime is 2290356319. The reversal of 2290356288 is 8826530922.

It is a happy number.

2290356288 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 3 + 562 + 88 = 666.

It is a super-2 number, since 2×22903562882 = 10491463851962277888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1412118 + ... + 1413738.

It is an arithmetic number, because the mean of its divisors is an integer number (42846752).

Almost surely, 22290356288 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 2290356288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599127168).

2290356288 is an abundant number, since it is smaller than the sum of its proper divisors (4907898048).

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

2290356288 is a wasteful number, since it uses less digits than its factorization.

2290356288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2290356288 is about 47857.6669719701. Note that the first 3 decimals coincide. The cubic root of 2290356288 is about 1318.1586446873.

The spelling of 2290356288 in words is "two billion, two hundred ninety million, three hundred fifty-six thousand, two hundred eighty-eight".