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220040125025400 = 233552171912934759
BaseRepresentation
bin110010000010000000010101…
…011111010000110001111000
31001212002122000122102001100000
4302002000111133100301320
5212320114134001303100
62055553012110113000
764230242265411651
oct6202002537206170
91055078018361300
10220040125025400
11641255471628a9
12208193007ab760
1395a19054bb5a4
143c49ddacb6528
151a68b368a6900
hexc820157d0c78

220040125025400 has 1152 divisors, whose sum is σ = 818620004966400. Its totient is φ = 54737615462400.

The previous prime is 220040125025317. The next prime is 220040125025407. The reversal of 220040125025400 is 4520521040022.

220040125025400 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 4 + 0 + 1 + 250 + 2 + 5 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220040125025407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46236628221 + ... + 46236632979.

It is an arithmetic number, because the mean of its divisors is an integer number (710607643200).

Almost surely, 2220040125025400 is an apocalyptic number.

220040125025400 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 220040125025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409310002483200).

220040125025400 is an abundant number, since it is smaller than the sum of its proper divisors (598579879941000).

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

220040125025400 is a wasteful number, since it uses less digits than its factorization.

220040125025400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 220040125025400 its reverse (4520521040022), we get a palindrome (224560646065422).

The spelling of 220040125025400 in words is "two hundred twenty trillion, forty billion, one hundred twenty-five million, twenty-five thousand, four hundred".