Search a number
-
+
22821915480 = 23357132373431
BaseRepresentation
bin10101010000010010…
…101100101101011000
32011220111110102112220
4111100102230231120
5333214402243410
614252332504040
71435356036510
oct252022545530
964814412486
1022821915480
119751415981
12450b01b020
1321c9209100
141166db2840
158d8884070
hex5504acb58

22821915480 has 384 divisors, whose sum is σ = 85152798720. Its totient is φ = 4791121920.

The previous prime is 22821915469. The next prime is 22821915481. The reversal of 22821915480 is 8451912822.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22821915481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52950865 + ... + 52951295.

It is an arithmetic number, because the mean of its divisors is an integer number (221752080).

Almost surely, 222821915480 is an apocalyptic number.

22821915480 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 22821915480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42576399360).

22821915480 is an abundant number, since it is smaller than the sum of its proper divisors (62330883240).

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

22821915480 is a wasteful number, since it uses less digits than its factorization.

22821915480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 22821915480 in words is "twenty-two billion, eight hundred twenty-one million, nine hundred fifteen thousand, four hundred eighty".