Search a number
-
+
22514130 = 2325376761
BaseRepresentation
bin101010111100…
…0100111010010
31120100211120200
41111320213102
521230423010
62122320030
7362236602
oct125704722
946324520
1022514130
1111788221
127659016
134883892
142dc0c02
151e9acc0
hex15789d2

22514130 has 48 divisors (see below), whose sum is σ = 60127704. Its totient is φ = 5840640.

The previous prime is 22514123. The next prime is 22514143. The reversal of 22514130 is 3141522.

22514130 is a `hidden beast` number, since 2 + 251 + 413 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22382361 + 131769 = 4731^2 + 363^2 .

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51 + ... + 6710.

Almost surely, 222514130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22514130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30063852).

22514130 is an abundant number, since it is smaller than the sum of its proper divisors (37613574).

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

22514130 is a wasteful number, since it uses less digits than its factorization.

22514130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22514130 is about 4744.9056892630. The cubic root of 22514130 is about 282.3698933603.

Adding to 22514130 its reverse (3141522), we get a palindrome (25655652).

The spelling of 22514130 in words is "twenty-two million, five hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 6761 13522 20283 33805 40566 60849 67610 101415 121698 202830 250157 304245 500314 608490 750471 1250785 1500942 2251413 2501570 3752355 4502826 7504710 11257065 22514130