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22868048 = 2471911069
BaseRepresentation
bin101011100111…
…1000001010000
31121000211001202
41113033001100
521323234143
62134050332
7365242460
oct127170120
947024052
1022868048
11119aa115
1277a99a8
1349789b8
143073ba0
15201aab8
hex15cf050

22868048 has 40 divisors (see below), whose sum is σ = 50949120. Its totient is φ = 9740160.

The previous prime is 22868047. The next prime is 22868057. The reversal of 22868048 is 84086822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22868047) 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 7 ways as a sum of consecutive naturals, for example, 20858 + ... + 21926.

It is an arithmetic number, because the mean of its divisors is an integer number (1273728).

Almost surely, 222868048 is an apocalyptic number.

22868048 is a gapful number since it is divisible by the number (28) 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 22868048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474560).

22868048 is an abundant number, since it is smaller than the sum of its proper divisors (28081072).

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

22868048 is a wasteful number, since it uses less digits than its factorization.

22868048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 22868048 is about 4782.0547884774. The cubic root of 22868048 is about 283.8418083507.

The spelling of 22868048 in words is "twenty-two million, eight hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 191 382 764 1069 1337 1528 2138 2674 3056 4276 5348 7483 8552 10696 14966 17104 21392 29932 59864 119728 204179 408358 816716 1429253 1633432 2858506 3266864 5717012 11434024 22868048