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22103242560 = 2632578997127
BaseRepresentation
bin10100100101011101…
…001011011101000000
32010001102011001122100
4110211131023131000
5330231412230220
614053141110400
71411511314260
oct244535133500
963042131570
1022103242560
119412782313
12434a3b8400
13211335c669
1410d97777a0
15895723d90
hex52574b740

22103242560 has 672 divisors, whose sum is σ = 89467822080. Its totient is φ = 4904976384.

The previous prime is 22103242543. The next prime is 22103242607. The reversal of 22103242560 is 6524230122.

It is a happy number.

22103242560 is a `hidden beast` number, since 22 + 10 + 32 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 174041217 + ... + 174041343.

It is an arithmetic number, because the mean of its divisors is an integer number (133136640).

Almost surely, 222103242560 is an apocalyptic number.

22103242560 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 22103242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44733911040).

22103242560 is an abundant number, since it is smaller than the sum of its proper divisors (67364579520).

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

22103242560 is a wasteful number, since it uses less digits than its factorization.

22103242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22103242560 its reverse (6524230122), we get a palindrome (28627472682).

The spelling of 22103242560 in words is "twenty-two billion, one hundred three million, two hundred forty-two thousand, five hundred sixty".