Search a number
-
+
220706373888 = 283474111331
BaseRepresentation
bin1100110110001100100…
…0000000000100000000
3210002200101222110120000
43031203020000010000
512104001312431023
6245220251320000
721642211140000
oct3154310000400
9702611873500
10220706373888
1185667aa33a0
1236936150000
1317a74158410
14a97a120000
155b1b221243
hex3363200100

220706373888 has 1800 divisors, whose sum is σ = 931062080256. Its totient is φ = 51209625600.

The previous prime is 220706373871. The next prime is 220706373889. The reversal of 220706373888 is 888373607022.

220706373888 is a `hidden beast` number, since 220 + 7 + 0 + 6 + 37 + 388 + 8 = 666.

It is a super-2 number, since 2×2207063738882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (220706373889) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 7119560433 + ... + 7119560463.

Almost surely, 2220706373888 is an apocalyptic number.

220706373888 is a gapful number since it is divisible by the number (28) 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 220706373888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465531040128).

220706373888 is an abundant number, since it is smaller than the sum of its proper divisors (710355706368).

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

220706373888 is an equidigital number, since it uses as much as digits as its factorization.

220706373888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 220706373888 in words is "two hundred twenty billion, seven hundred six million, three hundred seventy-three thousand, eight hundred eighty-eight".