Search a number
-
+
22328568 = 2333167619
BaseRepresentation
bin101010100101…
…1010011111000
31120000102001000
41111023103320
521204003233
62114325000
7360534603
oct125132370
946012030
1022328568
1111670869
127589760
13481a292
142d7333a
151e60d13
hex154b4f8

22328568 has 64 divisors (see below), whose sum is σ = 62496000. Its totient is φ = 7386336.

The previous prime is 22328539. The next prime is 22328569. The reversal of 22328568 is 86582322.

It is a super-3 number, since 3×223285683 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22328569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35763 + ... + 36381.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 222328568 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 22328568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248000).

22328568 is an abundant number, since it is smaller than the sum of its proper divisors (40167432).

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

22328568 is a wasteful number, since it uses less digits than its factorization.

22328568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 791 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 22328568 is about 4725.3114183089. The cubic root of 22328568 is about 281.5919857718.

The spelling of 22328568 in words is "twenty-two million, three hundred twenty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 167 216 334 501 619 668 1002 1238 1336 1503 1857 2004 2476 3006 3714 4008 4509 4952 5571 6012 7428 9018 11142 12024 14856 16713 18036 22284 33426 36072 44568 66852 103373 133704 206746 310119 413492 620238 826984 930357 1240476 1860714 2480952 2791071 3721428 5582142 7442856 11164284 22328568