Search a number
-
+
22944288 = 253172827
BaseRepresentation
bin101011110000…
…1101000100000
31121011200122110
41113201220200
521333204123
62135435320
7366010653
oct127415040
947150573
1022944288
1111a51424
127825b40
1349a4603
14309389a
152033493
hex15e1a20

22944288 has 72 divisors (see below), whose sum is σ = 64057392. Its totient is φ = 7189504.

The previous prime is 22944287. The next prime is 22944301. The reversal of 22944288 is 88244922.

It is not an unprimeable number, because it can be changed into a prime (22944287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27331 + ... + 28157.

It is an arithmetic number, because the mean of its divisors is an integer number (889686).

Almost surely, 222944288 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 22944288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32028696).

22944288 is an abundant number, since it is smaller than the sum of its proper divisors (41113104).

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

22944288 is a wasteful number, since it uses less digits than its factorization.

22944288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 849 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 22944288 is about 4790.0196241769. The cubic root of 22944288 is about 284.1568927456.

It can be divided in two parts, 22944 and 288, that added together give a palindrome (23232).

The spelling of 22944288 in words is "twenty-two million, nine hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 827 867 1156 1632 1654 1734 2312 2481 3308 3468 4624 4962 6616 6936 9248 9924 13232 13872 14059 19848 26464 27744 28118 39696 42177 56236 79392 84354 112472 168708 224944 239003 337416 449888 478006 674832 717009 956012 1349664 1434018 1912024 2868036 3824048 5736072 7648096 11472144 22944288