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22244960 = 255413391
BaseRepresentation
bin101010011011…
…0111001100000
31112212011100102
41110312321200
521143314320
62112441532
7360036053
oct124667140
945764312
1022244960
1111613a71
1275492a8
1347bb1ca
142d50a9a
151e46175
hex1536e60

22244960 has 48 divisors (see below), whose sum is σ = 53851392. Its totient is φ = 8678400.

The previous prime is 22244941. The next prime is 22245017. The reversal of 22244960 is 6944222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4865 + ... + 8255.

It is an arithmetic number, because the mean of its divisors is an integer number (1121904).

Almost surely, 222244960 is an apocalyptic number.

22244960 is a gapful number since it is divisible by the number (20) 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 22244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26925696).

22244960 is an abundant number, since it is smaller than the sum of its proper divisors (31606432).

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

22244960 is a wasteful number, since it uses less digits than its factorization.

22244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 22244960 is about 4716.4562968398. The cubic root of 22244960 is about 281.2400780039.

The spelling of 22244960 in words is "twenty-two million, two hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 3391 6560 6782 13564 16955 27128 33910 54256 67820 108512 135640 139031 271280 278062 542560 556124 695155 1112248 1390310 2224496 2780620 4448992 5561240 11122480 22244960