Search a number
-
+
22896864 = 253326501
BaseRepresentation
bin101011101011…
…0000011100000
31121002021121000
41113112003200
521330144424
62134432000
7365422464
oct127260340
947067530
1022896864
1111a19831
127802600
134988b53
1430804a4
1520243c9
hex15d60e0

22896864 has 48 divisors (see below), whose sum is σ = 66785040. Its totient is φ = 7632000.

The previous prime is 22896859. The next prime is 22896871. The reversal of 22896864 is 46869822.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12387 + ... + 14114.

It is an arithmetic number, because the mean of its divisors is an integer number (1391355).

Almost surely, 222896864 is an apocalyptic number.

22896864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22896864 is an abundant number, since it is smaller than the sum of its proper divisors (43888176).

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

22896864 is a wasteful number, since it uses less digits than its factorization.

22896864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26520 (or 26506 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 22896864 is about 4785.0667706940. The cubic root of 22896864 is about 283.9609812162.

The spelling of 22896864 in words is "twenty-two million, eight hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 26501 53002 79503 106004 159006 212008 238509 318012 424016 477018 636024 715527 848032 954036 1272048 1431054 1908072 2544096 2862108 3816144 5724216 7632288 11448432 22896864