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23225130 = 234553541
BaseRepresentation
bin101100010011…
…0001100101010
31121200221220000
41120212030222
521421201010
62145443430
7401260515
oct130461452
947627800
1023225130
1112123425
127940576
134a723a6
143127d7c
15208b7c0
hex162632a

23225130 has 80 divisors (see below), whose sum is σ = 63745704. Its totient is φ = 6065280.

The previous prime is 23225129. The next prime is 23225149. The reversal of 23225130 is 3152232.

It can be written as a sum of positive squares in 4 ways, for example, as 19686969 + 3538161 = 4437^2 + 1881^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42660 + ... + 43200.

Almost surely, 223225130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23225130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872852).

23225130 is an abundant number, since it is smaller than the sum of its proper divisors (40520574).

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

23225130 is a wasteful number, since it uses less digits than its factorization.

23225130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23225130 is about 4819.2457916151. The cubic root of 23225130 is about 285.3115706148.

Adding to 23225130 its reverse (3152232), we get a palindrome (26377362).

The spelling of 23225130 in words is "twenty-three million, two hundred twenty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 541 795 810 954 1082 1431 1590 1623 2385 2705 2862 3246 4293 4770 4869 5410 7155 8115 8586 9738 14310 14607 16230 21465 24345 28673 29214 42930 43821 48690 57346 73035 86019 87642 143365 146070 172038 219105 258057 286730 430095 438210 516114 774171 860190 1290285 1548342 2322513 2580570 3870855 4645026 7741710 11612565 23225130