Search a number
-
+
12022568640 = 263351781853
BaseRepresentation
bin10110011001001100…
…11101011011000000
31011000212120202201000
423030212131123000
5144110234144030
65304553212000
7603634101345
oct131446353300
934025522630
1012022568640
11510a476845
1223b6401000
131197a37154
14820a147cc
154a572c860
hex2cc99d6c0

12022568640 has 224 divisors, whose sum is σ = 44908378560. Its totient is φ = 3017392128.

The previous prime is 12022568639. The next prime is 12022568683. The reversal of 12022568640 is 4686522021.

It is a happy number.

12022568640 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 2 + 5 + 6 + 8 + 640 = 666.

It is a super-2 number, since 2×120225686402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12022568595 and 12022568604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105954 + ... + 187806.

Almost surely, 212022568640 is an apocalyptic number.

12022568640 is a gapful number since it is divisible by the number (10) 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 12022568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22454189280).

12022568640 is an abundant number, since it is smaller than the sum of its proper divisors (32885809920).

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

12022568640 is a wasteful number, since it uses less digits than its factorization.

12022568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81896 (or 81880 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12022568640 in words is "twelve billion, twenty-two million, five hundred sixty-eight thousand, six hundred forty".