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22144128 = 27357667
BaseRepresentation
bin101010001111…
…0010010000000
31112200001000220
41110132102000
521132103003
62110343040
7356136066
oct124362200
945601026
1022144128
1111555236
1274baa80
134784346
142d26036
151e26353
hex151e480

22144128 has 32 divisors (see below), whose sum is σ = 58821360. Its totient is φ = 7381248.

The previous prime is 22144117. The next prime is 22144169. The reversal of 22144128 is 82144122.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 22144098 and 22144107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28450 + ... + 29217.

Almost surely, 222144128 is an apocalyptic number.

It is an amenable number.

22144128 is an abundant number, since it is smaller than the sum of its proper divisors (36677232).

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

22144128 is an equidigital number, since it uses as much as digits as its factorization.

22144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57684 (or 57672 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 22144128 is about 4705.7547747412. The cubic root of 22144128 is about 280.8144991336.

The spelling of 22144128 in words is "twenty-two million, one hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 57667 115334 173001 230668 346002 461336 692004 922672 1384008 1845344 2768016 3690688 5536032 7381376 11072064 22144128