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22268736 = 263372263
BaseRepresentation
bin101010011110…
…0101101000000
31112220100222000
41110330231000
521200044421
62113144000
7360165300
oct124745500
945810860
1022268736
111162a916
12755b000
1347c8c89
142d59600
151e4d226
hex153cb40

22268736 has 168 divisors, whose sum is σ = 76443840. Its totient is φ = 6338304.

The previous prime is 22268731. The next prime is 22268767. The reversal of 22268736 is 63786222.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22268736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22268731) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 84541 + ... + 84803.

Almost surely, 222268736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38221920).

22268736 is an abundant number, since it is smaller than the sum of its proper divisors (54175104).

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

22268736 is a wasteful number, since it uses less digits than its factorization.

22268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 22268736 is about 4718.9761601432. The cubic root of 22268736 is about 281.3402412645.

The spelling of 22268736 in words is "twenty-two million, two hundred sixty-eight thousand, seven hundred thirty-six".