Search a number
-
+
22505340 = 223511134361
BaseRepresentation
bin101010111011…
…0011101111100
31120100101112010
41111312131330
521230132330
62122211220
7362202144
oct125663574
946311463
1022505340
1111781660
127653b10
13487c890
142dbb924
151e983b0
hex157677c

22505340 has 192 divisors, whose sum is σ = 76995072. Its totient is φ = 4838400.

The previous prime is 22505333. The next prime is 22505369. The reversal of 22505340 is 4350522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368910 + ... + 368970.

It is an arithmetic number, because the mean of its divisors is an integer number (401016).

Almost surely, 222505340 is an apocalyptic number.

22505340 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 22505340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536).

22505340 is an abundant number, since it is smaller than the sum of its proper divisors (54489732).

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

22505340 is a wasteful number, since it uses less digits than its factorization.

22505340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 22505340 is about 4743.9793422822. The cubic root of 22505340 is about 282.3331408194. Note that the first 3 decimals are identical.

Multiplying 22505340 by its sum of digits (21), we get a triangular number (472612140 = T30744).

Adding to 22505340 its reverse (4350522), we get a palindrome (26855862).

The spelling of 22505340 in words is "twenty-two million, five hundred five thousand, three hundred forty".