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22742468 = 22721931197
BaseRepresentation
bin101011011000…
…0010111000100
31120210102210122
41112300113010
521310224333
62131241112
7364210400
oct126602704
946712718
1022742468
1111923831
127749198
1349337a8
143040100
151ee3798
hex15b05c4

22742468 has 72 divisors (see below), whose sum is σ = 50561280. Its totient is φ = 8890560.

The previous prime is 22742453. The next prime is 22742471. The reversal of 22742468 is 86424722.

It is a happy number.

Its product of digits (43008) is a multiple of the sum of its prime divisors (256).

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 23 ways as a sum of consecutive naturals, for example, 115346 + ... + 115542.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 222742468 is an apocalyptic number.

22742468 is a gapful number since it is divisible by the number (28) 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 22742468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280640).

22742468 is an abundant number, since it is smaller than the sum of its proper divisors (27818812).

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

22742468 is a wasteful number, since it uses less digits than its factorization.

22742468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its digits is 43008, while the sum is 35.

The square root of 22742468 is about 4768.9063735829. The cubic root of 22742468 is about 283.3212814558.

The spelling of 22742468 in words is "twenty-two million, seven hundred forty-two thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 76 98 124 133 196 197 217 266 394 434 532 589 788 868 931 1178 1379 1519 1862 2356 2758 3038 3724 3743 4123 5516 6076 6107 7486 8246 9653 12214 14972 16492 19306 24428 26201 28861 38612 42749 52402 57722 85498 104804 115444 116033 170996 183407 232066 299243 366814 464132 598486 733628 812231 1196972 1624462 3248924 5685617 11371234 22742468