Search a number
-
+
22642704 = 2432723209
BaseRepresentation
bin101011001100…
…0000000010000
31120121100221200
41112120000100
521244031304
62125151200
7363313500
oct126300020
946540850
1022642704
1111865887
1276bb500
1348ca266
143015a00
151ec3e39
hex1598010

22642704 has 90 divisors (see below), whose sum is σ = 73736910. Its totient is φ = 6467328.

The previous prime is 22642687. The next prime is 22642709. The reversal of 22642704 is 40724622.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 19820304 + 2822400 = 4452^2 + 1680^2 .

It is not an unprimeable number, because it can be changed into a prime (22642709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5452 + ... + 8660.

It is an arithmetic number, because the mean of its divisors is an integer number (819299).

Almost surely, 222642704 is an apocalyptic number.

22642704 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 22642704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36868455).

22642704 is an abundant number, since it is smaller than the sum of its proper divisors (51094206).

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

22642704 is a wasteful number, since it uses less digits than its factorization.

22642704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 22642704 is about 4758.4350368582. The cubic root of 22642704 is about 282.9063939776.

The spelling of 22642704 in words is "twenty-two million, six hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3209 3528 6418 7056 9627 12836 19254 22463 25672 28881 38508 44926 51344 57762 67389 77016 89852 115524 134778 154032 157241 179704 202167 231048 269556 314482 359408 404334 462096 471723 539112 628964 808668 943446 1078224 1257928 1415169 1617336 1886892 2515856 2830338 3234672 3773784 5660676 7547568 11321352 22642704