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220850760000 = 2635413672113
BaseRepresentation
bin1100110110101110111…
…0110010100101000000
3210010001110200001001210
43031223232302211000
512104300243310000
6245242450130120
721645613325523
oct3155356624500
9703043601053
10220850760000
1185731550862
1236976580940
1317a9803cca0
14a991386bba
155b28c42350
hex336bbb2940

220850760000 has 560 divisors, whose sum is σ = 798466458944. Its totient is φ = 53526528000.

The previous prime is 220850759951. The next prime is 220850760001. The reversal of 220850760000 is 67058022.

220850760000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 220850760000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220850760001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104518944 + ... + 104521056.

Almost surely, 2220850760000 is an apocalyptic number.

220850760000 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 220850760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399233229472).

220850760000 is an abundant number, since it is smaller than the sum of its proper divisors (577615698944).

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

220850760000 is a wasteful number, since it uses less digits than its factorization.

220850760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 220850760000 in words is "two hundred twenty billion, eight hundred fifty million, seven hundred sixty thousand".