Search a number
-
+
22202242560 = 29345107071
BaseRepresentation
bin10100101011010110…
…110101011000000000
32010022022102210010000
4110223112311120000
5330432233230220
614111035040000
71414122643101
oct245326653000
963268383100
1022202242560
1194636504a3
1243775a0000
13212aa12c44
1411089883a8
1589e27c390
hex52b5b5600

22202242560 has 200 divisors, whose sum is σ = 79522160256. Its totient is φ = 5920542720.

The previous prime is 22202242553. The next prime is 22202242597. The reversal of 22202242560 is 6524220222.

22202242560 is a `hidden beast` number, since 22 + 20 + 22 + 42 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 153825 + ... + 260895.

Almost surely, 222202242560 is an apocalyptic number.

22202242560 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 22202242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39761080128).

22202242560 is an abundant number, since it is smaller than the sum of its proper divisors (57319917696).

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

22202242560 is an equidigital number, since it uses as much as digits as its factorization.

22202242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107106 (or 107081 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22202242560 its reverse (6524220222), we get a palindrome (28726462782).

The spelling of 22202242560 in words is "twenty-two billion, two hundred two million, two hundred forty-two thousand, five hundred sixty".