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28222344 = 233497449
BaseRepresentation
bin110101110101…
…0001110001000
31222002211210000
41223222032020
524211103334
62444523000
7461612613
oct153521610
958084700
1028222344
1114a26957
129550460
135b01b17
143a6917a
152727299
hex1aea388

28222344 has 80 divisors (see below), whose sum is σ = 80041500. Its totient is φ = 9289728.

The previous prime is 28222331. The next prime is 28222349. The reversal of 28222344 is 44322282.

It can be written as a sum of positive squares in 2 ways, for example, as 28196100 + 26244 = 5310^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28222349) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62632 + ... + 63080.

Almost surely, 228222344 is an apocalyptic number.

28222344 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 28222344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40020750).

28222344 is an abundant number, since it is smaller than the sum of its proper divisors (51819156).

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

28222344 is a wasteful number, since it uses less digits than its factorization.

28222344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 28222344 is about 5312.4706116834. The cubic root of 28222344 is about 304.4605496223.

The spelling of 28222344 in words is "twenty-eight million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 162 194 216 291 324 388 449 582 648 776 873 898 1164 1347 1746 1796 2328 2619 2694 3492 3592 4041 5238 5388 6984 7857 8082 10476 10776 12123 15714 16164 20952 24246 31428 32328 36369 43553 48492 62856 72738 87106 96984 130659 145476 174212 261318 290952 348424 391977 522636 783954 1045272 1175931 1567908 2351862 3135816 3527793 4703724 7055586 9407448 14111172 28222344