Search a number
-
+
22858920 = 23325747193
BaseRepresentation
bin101011100110…
…0110010101000
31121000100112200
41113030302220
521322441140
62133540200
7365204040
oct127146250
947010480
1022858920
11119a3277
1277a4660
1349747b6
143070720
152018030
hex15ccca8

22858920 has 192 divisors, whose sum is σ = 87160320. Its totient is φ = 5087232.

The previous prime is 22858907. The next prime is 22858921. The reversal of 22858920 is 2985822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22858921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118344 + ... + 118536.

It is an arithmetic number, because the mean of its divisors is an integer number (453960).

Almost surely, 222858920 is an apocalyptic number.

22858920 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 22858920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43580160).

22858920 is an abundant number, since it is smaller than the sum of its proper divisors (64301400).

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

22858920 is a wasteful number, since it uses less digits than its factorization.

22858920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 22858920 is about 4781.1002917739. The cubic root of 22858920 is about 283.8040372675.

The spelling of 22858920 in words is "twenty-two million, eight hundred fifty-eight thousand, nine hundred twenty".