Search a number
-
+
2220597622656 = 273271731539859
BaseRepresentation
bin100000010100000101111…
…011101011011110000000
321212021202021012011212200
4200110011323223132000
5242340240442411111
64420043425353200
7316301323234050
oct40240573533600
97767667164780
102220597622656
11786828515826
122ba449798800
1313152b00393a
1479698381560
153cb698bb256
hex20505eeb780

2220597622656 has 768 divisors, whose sum is σ = 8133297868800. Its totient is φ = 566912286720.

The previous prime is 2220597622643. The next prime is 2220597622667. The reversal of 2220597622656 is 6562267950222.

2220597622656 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 5 + 9 + 7 + 622 + 6 + 5 + 6 = 666.

It is a congruent number.

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, 225230655 + ... + 225240513.

It is an arithmetic number, because the mean of its divisors is an integer number (10590231600).

Almost surely, 22220597622656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220597622656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066648934400).

2220597622656 is an abundant number, since it is smaller than the sum of its proper divisors (5912700246144).

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

2220597622656 is a wasteful number, since it uses less digits than its factorization.

2220597622656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9987 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2220597622656 in words is "two trillion, two hundred twenty billion, five hundred ninety-seven million, six hundred twenty-two thousand, six hundred fifty-six".