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22112040 = 23351031789
BaseRepresentation
bin101010001011…
…0011100101000
31112121102000110
41110112130220
521130041130
62105534320
7355643406
oct124263450
945542013
1022112040
1111533115
1274a43a0
134772862
142d18476
151e1bab0
hex1516728

22112040 has 64 divisors (see below), whose sum is σ = 67017600. Its totient is φ = 5836032.

The previous prime is 22112033. The next prime is 22112063. The reversal of 22112040 is 4021122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 11466 + ... + 13254.

It is an arithmetic number, because the mean of its divisors is an integer number (1047150).

Almost surely, 222112040 is an apocalyptic number.

22112040 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 22112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33508800).

22112040 is an abundant number, since it is smaller than the sum of its proper divisors (44905560).

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

22112040 is a wasteful number, since it uses less digits than its factorization.

22112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22112040 is about 4702.3440962992. The cubic root of 22112040 is about 280.6787952649.

Adding to 22112040 its reverse (4021122), we get a palindrome (26133162).

The spelling of 22112040 in words is "twenty-two million, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 1789 2060 2472 3090 3578 4120 5367 6180 7156 8945 10734 12360 14312 17890 21468 26835 35780 42936 53670 71560 107340 184267 214680 368534 552801 737068 921335 1105602 1474136 1842670 2211204 2764005 3685340 4422408 5528010 7370680 11056020 22112040