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220290794640 = 243657975563
BaseRepresentation
bin1100110100101001011…
…0101100010010010000
3210001121102222212000000
43031022112230102100
512102123420412030
6245111124130000
721626003600460
oct3151226542220
9701542885000
10220290794640
1185474457574
123683ab36900
1317a09020937
14a93ac61ba0
155ae49d1860
hex334a5ac490

220290794640 has 560 divisors, whose sum is σ = 886821656448. Its totient is φ = 49824129024.

The previous prime is 220290794599. The next prime is 220290794701. The reversal of 220290794640 is 46497092022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 39596499 + ... + 39602061.

Almost surely, 2220290794640 is an apocalyptic number.

220290794640 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 220290794640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443410828224).

220290794640 is an abundant number, since it is smaller than the sum of its proper divisors (666530861808).

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

220290794640 is an equidigital number, since it uses as much as digits as its factorization.

220290794640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 220290794640 in words is "two hundred twenty billion, two hundred ninety million, seven hundred ninety-four thousand, six hundred forty".