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22066944 = 28359487
BaseRepresentation
bin101010000101…
…1011100000000
31112112010011020
41110023130000
521122120234
62104545440
7355365054
oct124133400
945463136
1022066944
1111502249
127482280
134758183
142d05c64
151e0d549
hex150b700

22066944 has 72 divisors (see below), whose sum is σ = 59848320. Its totient is φ = 7216128.

The previous prime is 22066943. The next prime is 22066949. The reversal of 22066944 is 44966022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22066943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45069 + ... + 45555.

Almost surely, 222066944 is an apocalyptic number.

22066944 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 22066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29924160).

22066944 is an abundant number, since it is smaller than the sum of its proper divisors (37781376).

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

22066944 is an equidigital number, since it uses as much as digits as its factorization.

22066944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 22066944 is about 4697.5465937019. The cubic root of 22066944 is about 280.4878569735.

The spelling of 22066944 in words is "twenty-two million, sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 487 708 768 944 974 1416 1461 1888 1948 2832 2922 3776 3896 5664 5844 7552 7792 11328 11688 15104 15584 22656 23376 28733 31168 45312 46752 57466 62336 86199 93504 114932 124672 172398 187008 229864 344796 374016 459728 689592 919456 1379184 1838912 2758368 3677824 5516736 7355648 11033472 22066944