Search a number
-
+
22928207597568 = 21235721329243
BaseRepresentation
bin1010011011010011000111…
…01010110101000000000000
310000011220201012122212100000
411031221203222311000000
511001123432121110233
6120433023445200000
74554336233644200
oct515514352650000
9100156635585300
1022928207597568
11733a8864a7219
1226a3782400000
13ca4175239430
14593a34482400
1529b636961d13
hex14da63ab5000

22928207597568 has 2808 divisors, whose sum is σ = 91182612769248. Its totient is φ = 5702703906816.

The previous prime is 22928207597467. The next prime is 22928207597569. The reversal of 22928207597568 is 86579570282922.

It is a happy number.

22928207597568 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 8 + 2 + 0 + 7 + 59 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (2808).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22928207597496 and 22928207597505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22928207597569) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 533214130155 + ... + 533214130197.

Almost surely, 222928207597568 is an apocalyptic number.

22928207597568 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 22928207597568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45591306384624).

22928207597568 is an abundant number, since it is smaller than the sum of its proper divisors (68254405171680).

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

22928207597568 is an equidigital number, since it uses as much as digits as its factorization.

22928207597568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 22928207597568 in words is "twenty-two trillion, nine hundred twenty-eight billion, two hundred seven million, five hundred ninety-seven thousand, five hundred sixty-eight".