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2232262656 = 213321317137
BaseRepresentation
bin1000010100001101…
…1010000000000000
312202120101200200200
42011003122000000
514032424401111
61005301045200
7106213630251
oct20503320000
95676350620
102232262656
11a46065a78
125236b6800
132976194a0
14172678b28
15d0e91256
hex850da000

2232262656 has 336 divisors, whose sum is σ = 7406557704. Its totient is φ = 641728512.

The previous prime is 2232262583. The next prime is 2232262687. The reversal of 2232262656 is 6562622322.

2232262656 is a `hidden beast` number, since 2 + 2 + 3 + 22 + 626 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1899565056 + 332697600 = 43584^2 + 18240^2 .

It is a super-3 number, since 3×22322626563 (a number of 29 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2232262656.

It is a congruent number.

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, 16293820 + ... + 16293956.

Almost surely, 22232262656 is an apocalyptic number.

2232262656 is a gapful number since it is divisible by the number (26) 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 2232262656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703278852).

2232262656 is an abundant number, since it is smaller than the sum of its proper divisors (5174295048).

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

2232262656 is a wasteful number, since it uses less digits than its factorization.

2232262656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2232262656 is about 47246.8269410762. The cubic root of 2232262656 is about 1306.9182763194.

Adding to 2232262656 its reverse (6562622322), we get a palindrome (8794884978).

The spelling of 2232262656 in words is "two billion, two hundred thirty-two million, two hundred sixty-two thousand, six hundred fifty-six".