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22249968 = 24313181197
BaseRepresentation
bin101010011100…
…0000111110000
31112212102012220
41110320013300
521143444333
62112521040
7360056466
oct124700760
945772186
1022249968
1111617804
127550180
1347c0580
142d52836
151e478b3
hex15381f0

22249968 has 80 divisors (see below), whose sum is σ = 62558496. Its totient is φ = 6773760.

The previous prime is 22249967. The next prime is 22249973. The reversal of 22249968 is 86994222.

It is a super-2 number, since 2×222499682 = 990122152002048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22249961) 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 15 ways as a sum of consecutive naturals, for example, 112846 + ... + 113042.

Almost surely, 222249968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22249968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31279248).

22249968 is an abundant number, since it is smaller than the sum of its proper divisors (40308528).

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

22249968 is a wasteful number, since it uses less digits than its factorization.

22249968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 22249968 is about 4716.9871740339. The cubic root of 22249968 is about 281.2611815801.

The spelling of 22249968 in words is "twenty-two million, two hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 181 197 208 312 362 394 543 591 624 724 788 1086 1182 1448 1576 2172 2353 2364 2561 2896 3152 4344 4706 4728 5122 7059 7683 8688 9412 9456 10244 14118 15366 18824 20488 28236 30732 35657 37648 40976 56472 61464 71314 106971 112944 122928 142628 213942 285256 427884 463541 570512 855768 927082 1390623 1711536 1854164 2781246 3708328 5562492 7416656 11124984 22249968