Search a number
-
+
22867072 = 27227787
BaseRepresentation
bin101011100111…
…0110010000000
31121000202201121
41113032302000
521323221242
62134042024
7365236564
oct127166200
947022647
1022867072
11119a9408
1277a9314
134978417
1430736a4
15201a667
hex15cec80

22867072 has 32 divisors (see below), whose sum is σ = 45814320. Its totient is φ = 11368704.

The previous prime is 22867069. The next prime is 22867123. The reversal of 22867072 is 27076822.

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

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 3 ways as a sum of consecutive naturals, for example, 28663 + ... + 29449.

Almost surely, 222867072 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 22867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22907160).

22867072 is an abundant number, since it is smaller than the sum of its proper divisors (22947248).

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

22867072 is an equidigital number, since it uses as much as digits as its factorization.

22867072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 22867072 is about 4781.9527392060. The cubic root of 22867072 is about 283.8377702047.

The spelling of 22867072 in words is "twenty-two million, eight hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 227 454 787 908 1574 1816 3148 3632 6296 7264 12592 14528 25184 29056 50368 100736 178649 357298 714596 1429192 2858384 5716768 11433536 22867072