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22056736 = 2513371433
BaseRepresentation
bin101010000100…
…0111100100000
31112111121011011
41110020330200
521121303421
62104430304
7355323232
oct124107440
945447134
1022056736
11114a5609
127478394
134753630
142d02252
151e0a4e1
hex1508f20

22056736 has 48 divisors (see below), whose sum is σ = 48061944. Its totient is φ = 9897984.

The previous prime is 22056673. The next prime is 22056743. The reversal of 22056736 is 63765022.

It can be written as a sum of positive squares in 4 ways, for example, as 21344400 + 712336 = 4620^2 + 844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22056698 and 22056707.

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, 14676 + ... + 16108.

Almost surely, 222056736 is an apocalyptic number.

22056736 is a gapful number since it is divisible by the number (26) 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 22056736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24030972).

22056736 is an abundant number, since it is smaller than the sum of its proper divisors (26005208).

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

22056736 is a wasteful number, since it uses less digits than its factorization.

22056736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 22056736 is about 4696.4599434042. The cubic root of 22056736 is about 280.4445997882. Note that the first 3 decimals are identical.

The spelling of 22056736 in words is "twenty-two million, fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1433 1924 2866 3848 5732 7696 11464 15392 18629 22928 37258 45856 53021 74516 106042 149032 212084 298064 424168 596128 689273 848336 1378546 1696672 2757092 5514184 11028368 22056736