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22628424 = 2337132797
BaseRepresentation
bin101011001010…
…0100001001000
31120120122100210
41112110201020
521243102144
62125001120
7363224040
oct126244110
946518323
1022628424
1111856085
1276b31a0
1348c3900
143010720
151ebeab9
hex1594848

22628424 has 96 divisors (see below), whose sum is σ = 70096320. Its totient is φ = 5960448.

The previous prime is 22628401. The next prime is 22628429. The reversal of 22628424 is 42482622.

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

It is a junction number, because it is equal to n+sod(n) for n = 22628391 and 22628400.

It is not an unprimeable number, because it can be changed into a prime (22628429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27994 + ... + 28790.

It is an arithmetic number, because the mean of its divisors is an integer number (730170).

Almost surely, 222628424 is an apocalyptic number.

22628424 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 22628424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35048160).

22628424 is an abundant number, since it is smaller than the sum of its proper divisors (47467896).

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

22628424 is a wasteful number, since it uses less digits than its factorization.

22628424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 822 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 22628424 is about 4756.9343068830. The cubic root of 22628424 is about 282.8469082542.

The spelling of 22628424 in words is "twenty-two million, six hundred twenty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 507 546 676 728 797 1014 1092 1183 1352 1594 2028 2184 2366 2391 3188 3549 4056 4732 4782 5579 6376 7098 9464 9564 10361 11158 14196 16737 19128 20722 22316 28392 31083 33474 41444 44632 62166 66948 72527 82888 124332 133896 134693 145054 217581 248664 269386 290108 404079 435162 538772 580216 808158 870324 942851 1077544 1616316 1740648 1885702 2828553 3232632 3771404 5657106 7542808 11314212 22628424