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225055132000 = 2553972112749
BaseRepresentation
bin1101000110011001010…
…1001100100101100000
3210111220110221021012021
43101212111030211200
512141403103211000
6251220000311224
722155035026036
oct3214625144540
9714813837167
10225055132000
1187499833766
123774a612514
13182b80b997a
14ac6d8da556
155cc2dd711a
hex346654c960

225055132000 has 192 divisors, whose sum is σ = 561512952000. Its totient is φ = 88639488000.

The previous prime is 225055131971. The next prime is 225055132019. The reversal of 225055132000 is 231550522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81866626 + ... + 81869374.

It is an arithmetic number, because the mean of its divisors is an integer number (2924546625).

Almost surely, 2225055132000 is an apocalyptic number.

225055132000 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 225055132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280756476000).

225055132000 is an abundant number, since it is smaller than the sum of its proper divisors (336457820000).

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

225055132000 is a wasteful number, since it uses less digits than its factorization.

225055132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 225055132000 its reverse (231550522), we get a palindrome (225286682522).

The spelling of 225055132000 in words is "two hundred twenty-five billion, fifty-five million, one hundred thirty-two thousand".