Search a number
-
+
23225292 = 223497739
BaseRepresentation
bin101100010011…
…0001111001100
31121200222010000
41120212033030
521421202132
62145444300
7401261136
oct130461714
947628100
1023225292
1112123562
127940690
134a7249c
143128056
15208b87c
hex16263cc

23225292 has 60 divisors (see below), whose sum is σ = 61424440. Its totient is φ = 7651584.

The previous prime is 23225287. The next prime is 23225299. The reversal of 23225292 is 29252232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23225299) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31059 + ... + 31797.

Almost surely, 223225292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23225292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30712220).

23225292 is an abundant number, since it is smaller than the sum of its proper divisors (38199148).

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

23225292 is a wasteful number, since it uses less digits than its factorization.

23225292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 841 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 23225292 is about 4819.2625991950. The cubic root of 23225292 is about 285.3122339820.

The spelling of 23225292 in words is "twenty-three million, two hundred twenty-five thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 291 324 388 582 739 873 1164 1478 1746 2217 2619 2956 3492 4434 5238 6651 7857 8868 10476 13302 15714 19953 26604 31428 39906 59859 71683 79812 119718 143366 215049 239436 286732 430098 645147 860196 1290294 1935441 2580588 3870882 5806323 7741764 11612646 23225292