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2232560880 = 243451131321
BaseRepresentation
bin1000010100010010…
…0010110011110000
312202120221211210000
42011010202303300
514033013422010
61005311310000
7106216311564
oct20504426360
95676854700
102232560880
11a4624a040
1252381b300
132976c2154
141727156a4
15d0eee7c0
hex85122cf0

2232560880 has 200 divisors, whose sum is σ = 8459195184. Its totient is φ = 541209600.

The previous prime is 2232560831. The next prime is 2232560893. The reversal of 2232560880 is 880652322.

2232560880 is a `hidden beast` number, since 2 + 23 + 25 + 608 + 8 + 0 = 666.

It is a super-3 number, since 3×22325608803 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55620 + ... + 86940.

Almost surely, 22232560880 is an apocalyptic number.

2232560880 is a gapful number since it is divisible by the number (20) 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 2232560880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229597592).

2232560880 is an abundant number, since it is smaller than the sum of its proper divisors (6226634304).

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

2232560880 is a wasteful number, since it uses less digits than its factorization.

2232560880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31357 (or 31342 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2232560880 is about 47249.9828571397. The cubic root of 2232560880 is about 1306.9764739274.

The spelling of 2232560880 in words is "two billion, two hundred thirty-two million, five hundred sixty thousand, eight hundred eighty".