Search a number
-
+
22123168480 = 2557163179677
BaseRepresentation
bin10100100110101001…
…001100001011100000
32010002210122101212101
4110212221030023200
5330302012342410
614055132140144
71412142554320
oct244651141340
963083571771
1022123168480
119422a51a16
124355007654
13211751814a
1410dc283280
1589735cd3a
hex526a4c2e0

22123168480 has 192 divisors, whose sum is σ = 60524029440. Its totient is φ = 7485364224.

The previous prime is 22123168451. The next prime is 22123168523. The reversal of 22123168480 is 8486132122.

It is a happy number.

It is a congruent number.

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, 32677902 + ... + 32678578.

It is an arithmetic number, because the mean of its divisors is an integer number (315229320).

Almost surely, 222123168480 is an apocalyptic number.

22123168480 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 22123168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30262014720).

22123168480 is an abundant number, since it is smaller than the sum of its proper divisors (38400860960).

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

22123168480 is a wasteful number, since it uses less digits than its factorization.

22123168480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 22123168480 in words is "twenty-two billion, one hundred twenty-three million, one hundred sixty-eight thousand, four hundred eighty".