Search a number
-
+
20320637220 = 2232513591031429
BaseRepresentation
bin10010111011001101…
…000101000100100100
31221110011212022211100
4102323031011010210
5313104040342340
613200221440100
71316364365202
oct227315050444
957404768740
1020320637220
118688519564
123b31410030
131bbac4cbc0
14daab0c072
157ddea4830
hex4bb345124

20320637220 has 288 divisors, whose sum is σ = 68208940800. Its totient is φ = 4866075648.

The previous prime is 20320637191. The next prime is 20320637257. The reversal of 20320637220 is 2273602302.

20320637220 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 0 + 637 + 2 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14219466 + ... + 14220894.

It is an arithmetic number, because the mean of its divisors is an integer number (236836600).

Almost surely, 220320637220 is an apocalyptic number.

20320637220 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 20320637220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34104470400).

20320637220 is an abundant number, since it is smaller than the sum of its proper divisors (47888303580).

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

20320637220 is a wasteful number, since it uses less digits than its factorization.

20320637220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 20320637220 in words is "twenty billion, three hundred twenty million, six hundred thirty-seven thousand, two hundred twenty".