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2225657088 = 2834181593
BaseRepresentation
bin1000010010101000…
…1101010100000000
312202002222002120000
42010222031110000
514024232011323
61004503320000
7106103526114
oct20452152400
95662862500
102225657088
11a42364126
12521450000
13296145975
14171839744
15d05d8e43
hex84a8d500

2225657088 has 180 divisors, whose sum is σ = 6684425748. Its totient is φ = 736542720.

The previous prime is 2225657053. The next prime is 2225657089. The reversal of 2225657088 is 8807565222.

2225657088 is a `hidden beast` number, since 2 + 2 + 2 + 565 + 7 + 0 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 517653504 + 1708003584 = 22752^2 + 41328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225657089) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3752920 + ... + 3753512.

Almost surely, 22225657088 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 2225657088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342212874).

2225657088 is an abundant number, since it is smaller than the sum of its proper divisors (4458768660).

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

2225657088 is an equidigital number, since it uses as much as digits as its factorization.

2225657088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2225657088 is about 47176.8702649932. The cubic root of 2225657088 is about 1305.6278865151.

The spelling of 2225657088 in words is "two billion, two hundred twenty-five million, six hundred fifty-seven thousand, eighty-eight".