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204022420056 = 233371329734903
BaseRepresentation
bin1011111000000010101…
…1110001001001011000
3201111121200011210111000
42332000223301021120
511320314214420211
6233420540305000
720511602646120
oct2760053611130
9644550153430
10204022420056
11795863789a4
123365a842160
13163157906a0
149c363cdc80
155491677656
hex2f80af1258

204022420056 has 512 divisors, whose sum is σ = 731598336000. Its totient is φ = 51230527488.

The previous prime is 204022420051. The next prime is 204022420073. The reversal of 204022420056 is 650024220402.

It is a happy number.

204022420056 is a `hidden beast` number, since 2 + 0 + 402 + 2 + 4 + 200 + 56 = 666.

It is a super-2 number, since 2×2040224200562 (a number of 23 digits) contains 22 as substring.

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 (204022420051) 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 127 ways as a sum of consecutive naturals, for example, 41609301 + ... + 41614203.

It is an arithmetic number, because the mean of its divisors is an integer number (1428903000).

Almost surely, 2204022420056 is an apocalyptic number.

204022420056 is a gapful number since it is divisible by the number (26) 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 204022420056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365799168000).

204022420056 is an abundant number, since it is smaller than the sum of its proper divisors (527575915944).

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

204022420056 is a wasteful number, since it uses less digits than its factorization.

204022420056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 204022420056 its reverse (650024220402), we get a palindrome (854046640458).

The spelling of 204022420056 in words is "two hundred four billion, twenty-two million, four hundred twenty thousand, fifty-six".