Search a number
-
+
22812264 = 23321013137
BaseRepresentation
bin101011100000…
…1011001101000
31120220222112200
41113001121220
521314443024
62132540200
7364621026
oct127013150
946828480
1022812264
1111971212
127781660
1349594a7
14305b716
1520092c9
hex15c1668

22812264 has 48 divisors (see below), whose sum is σ = 62414820. Its totient is φ = 7526400.

The previous prime is 22812259. The next prime is 22812269. The reversal of 22812264 is 46221822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22812259) and next prime (22812269).

It can be written as a sum of positive squares in 2 ways, for example, as 14062500 + 8749764 = 3750^2 + 2958^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22812269) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5704 + ... + 8840.

Almost surely, 222812264 is an apocalyptic number.

22812264 is a gapful number since it is divisible by the number (24) 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 22812264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31207410).

22812264 is an abundant number, since it is smaller than the sum of its proper divisors (39602556).

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

22812264 is a wasteful number, since it uses less digits than its factorization.

22812264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3243 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 22812264 is about 4776.2185879627. The cubic root of 22812264 is about 283.6108204988.

The spelling of 22812264 in words is "twenty-two million, eight hundred twelve thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3137 3636 6274 7272 9411 12548 18822 25096 28233 37644 56466 75288 112932 225864 316837 633674 950511 1267348 1901022 2534696 2851533 3802044 5703066 7604088 11406132 22812264