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22249944 = 2333239431
BaseRepresentation
bin101010011100…
…0000111011000
31112212102012000
41110320013120
521143444234
62112521000
7360056433
oct124700730
945772160
1022249944
1111617792
127550160
1347c0562
142d5281a
151e47899
hex15381d8

22249944 has 64 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 7368480.

The previous prime is 22249907. The next prime is 22249949. The reversal of 22249944 is 44994222.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 22249899 and 22249908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22249949) 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, 51409 + ... + 51839.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 222249944 is an apocalyptic number.

22249944 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 22249944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

22249944 is an abundant number, since it is smaller than the sum of its proper divisors (39958056).

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

22249944 is a wasteful number, since it uses less digits than its factorization.

22249944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 675 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 22249944 is about 4716.9846300364. The cubic root of 22249944 is about 281.2610804523.

The spelling of 22249944 in words is "twenty-two million, two hundred forty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 239 431 478 717 862 956 1293 1434 1724 1912 2151 2586 2868 3448 3879 4302 5172 5736 6453 7758 8604 10344 11637 12906 15516 17208 23274 25812 31032 46548 51624 93096 103009 206018 309027 412036 618054 824072 927081 1236108 1854162 2472216 2781243 3708324 5562486 7416648 11124972 22249944