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2132225856 = 2636231987
BaseRepresentation
bin111111100010111…
…0010111101000000
312111121011022000000
41333011302331000
513331322211411
6551325000000
7103560422625
oct17705627500
95447138000
102132225856
119a4649932
124b60b3000
1327c992007
1416327834c
15c72d0956
hex7f172f40

2132225856 has 196 divisors, whose sum is σ = 6622950432. Its totient is φ = 679497984.

The previous prime is 2132225831. The next prime is 2132225857. The reversal of 2132225856 is 6585222312.

It is a happy number.

2132225856 is a `hidden beast` number, since 21 + 32 + 22 + 585 + 6 = 666.

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 2132225856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132225857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1072095 + ... + 1074081.

Almost surely, 22132225856 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 2132225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311475216).

2132225856 is an abundant number, since it is smaller than the sum of its proper divisors (4490724576).

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

2132225856 is an equidigital number, since it uses as much as digits as its factorization.

2132225856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2015 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2132225856 is about 46176.0311850207. The cubic root of 2132225856 is about 1287.0963789137.

The spelling of 2132225856 in words is "two billion, one hundred thirty-two million, two hundred twenty-five thousand, eight hundred fifty-six".