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220021068420 = 2233531101179727
BaseRepresentation
bin1100110011101001000…
…1110001001010000100
3210000220122110100012000
43030322101301022010
512101100343142140
6245024251025300
721616220136606
oct3147221611204
9700818410160
10220021068420
118534618023a
123678473b230
131799519261a
14a9130cd176
155acaea2a30
hex333a471284

220021068420 has 384 divisors, whose sum is σ = 718560460800. Its totient is φ = 55826496000.

The previous prime is 220021068401. The next prime is 220021068457. The reversal of 220021068420 is 24860120022.

It is a happy number.

220021068420 is a `hidden beast` number, since 2 + 20 + 0 + 210 + 6 + 8 + 420 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 302642097 + ... + 302642823.

It is an arithmetic number, because the mean of its divisors is an integer number (1871251200).

Almost surely, 2220021068420 is an apocalyptic number.

220021068420 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 220021068420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359280230400).

220021068420 is an abundant number, since it is smaller than the sum of its proper divisors (498539392380).

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

220021068420 is a wasteful number, since it uses less digits than its factorization.

220021068420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 220021068420 its reverse (24860120022), we get a palindrome (244881188442).

The spelling of 220021068420 in words is "two hundred twenty billion, twenty-one million, sixty-eight thousand, four hundred twenty".