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20225935800 = 23325272435333
BaseRepresentation
bin10010110101100011…
…110100100110111000
31221012120122222220100
4102311203310212320
5312410314421200
613142555555400
71314134421600
oct226543644670
957176588810
1020225935800
11863a016a24
123b0575bb60
131ba4443065
14d9c2d9c00
157d59e9d00
hex4b58f49b8

20225935800 has 432 divisors, whose sum is σ = 80868027240. Its totient is φ = 4514711040.

The previous prime is 20225935777. The next prime is 20225935883. The reversal of 20225935800 is 853952202.

20225935800 is a `hidden beast` number, since 2 + 0 + 22 + 59 + 3 + 580 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 3789934 + ... + 3795266.

Almost surely, 220225935800 is an apocalyptic number.

20225935800 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 20225935800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40434013620).

20225935800 is an abundant number, since it is smaller than the sum of its proper divisors (60642091440).

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

20225935800 is a wasteful number, since it uses less digits than its factorization.

20225935800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 20225935800 in words is "twenty billion, two hundred twenty-five million, nine hundred thirty-five thousand, eight hundred".