Search a number
-
+
220615711056 = 2432131771251389
BaseRepresentation
bin1100110101110110111…
…0001001100101010000
3210002110002101022112100
43031131232021211100
512103310110223211
6245203252200400
721640030413606
oct3153556114520
9702402338470
10220615711056
11856208aa034
123690b909100
1317a5b433880
14a96c07d876
155b132b3156
hex335db89950

220615711056 has 480 divisors, whose sum is σ = 718626504960. Its totient is φ = 62576640000.

The previous prime is 220615711027. The next prime is 220615711103. The reversal of 220615711056 is 650117516022.

220615711056 is a `hidden beast` number, since 2 + 20 + 6 + 1 + 571 + 10 + 56 = 666.

220615711056 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220615711056.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 567135310 + ... + 567135698.

It is an arithmetic number, because the mean of its divisors is an integer number (1497138552).

Almost surely, 2220615711056 is an apocalyptic number.

220615711056 is a gapful number since it is divisible by the number (26) 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 220615711056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359313252480).

220615711056 is an abundant number, since it is smaller than the sum of its proper divisors (498010793904).

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

220615711056 is a wasteful number, since it uses less digits than its factorization.

220615711056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 220615711056 in words is "two hundred twenty billion, six hundred fifteen million, seven hundred eleven thousand, fifty-six".