Search a number
-
+
22932144 = 2432163977
BaseRepresentation
bin101011101111…
…0101010110000
31121011001222200
41113132222300
521332312034
62135303200
7365630364
oct127365260
947131880
1022932144
1111a43294
12781ab00
13499bc21
14308d2a4
15202ea99
hex15deab0

22932144 has 60 divisors (see below), whose sum is σ = 64637976. Its totient is φ = 7589376.

The previous prime is 22932139. The next prime is 22932149. The reversal of 22932144 is 44123922.

It is an interprime number because it is at equal distance from previous prime (22932139) and next prime (22932149).

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

It is not an unprimeable number, because it can be changed into a prime (22932149) 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, 22984 + ... + 23960.

Almost surely, 222932144 is an apocalyptic number.

22932144 is a gapful number since it is divisible by the number (24) 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 22932144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32318988).

22932144 is an abundant number, since it is smaller than the sum of its proper divisors (41705832).

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

22932144 is a wasteful number, since it uses less digits than its factorization.

22932144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1145 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 22932144 is about 4788.7518206731. The cubic root of 22932144 is about 284.1067508497.

The spelling of 22932144 in words is "twenty-two million, nine hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 652 977 978 1304 1467 1954 1956 2608 2931 2934 3908 3912 5862 5868 7816 7824 8793 11724 11736 15632 17586 23448 23472 35172 46896 70344 140688 159251 318502 477753 637004 955506 1274008 1433259 1911012 2548016 2866518 3822024 5733036 7644048 11466072 22932144