Search a number
-
+
22173138 = 23213237197
BaseRepresentation
bin101010010010…
…1010111010010
31112201111211100
41110211113102
521134020023
62111125230
7356316501
oct124452722
945644740
1022173138
1111575009
127513816
134794600
142d32838
151e2ec43
hex15255d2

22173138 has 72 divisors (see below), whose sum is σ = 53698788. Its totient is φ = 6604416.

The previous prime is 22173131. The next prime is 22173157. The reversal of 22173138 is 83137122.

It can be written as a sum of positive squares in 6 ways, for example, as 14538969 + 7634169 = 3813^2 + 2763^2 .

Its product of digits (2016) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (22173131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112456 + ... + 112652.

Almost surely, 222173138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22173138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26849394).

22173138 is an abundant number, since it is smaller than the sum of its proper divisors (31525650).

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

22173138 is a wasteful number, since it uses less digits than its factorization.

22173138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 22173138 is about 4708.8361619407. The cubic root of 22173138 is about 280.9370729944.

The spelling of 22173138 in words is "twenty-two million, one hundred seventy-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 169 197 222 234 333 338 394 481 507 591 666 962 1014 1182 1443 1521 1773 2561 2886 3042 3546 4329 5122 6253 7289 7683 8658 12506 14578 15366 18759 21867 23049 33293 37518 43734 46098 56277 65601 66586 94757 99879 112554 131202 189514 199758 284271 299637 568542 599274 852813 1231841 1705626 2463682 3695523 7391046 11086569 22173138