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22328952 = 23319232129
BaseRepresentation
bin101010100101…
…1011001111000
31120000102120020
41111023121320
521204011302
62114330440
7360535662
oct125133170
946012506
1022328952
1111671088
127589a20
13481a4c9
142d73532
151e60ebc
hex154b678

22328952 has 64 divisors (see below), whose sum is σ = 61344000. Its totient is φ = 6741504.

The previous prime is 22328951. The next prime is 22328987. The reversal of 22328952 is 25982322.

It is a super-3 number, since 3×223289523 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22328951) 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, 9424 + ... + 11552.

It is an arithmetic number, because the mean of its divisors is an integer number (958500).

Almost surely, 222328952 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 22328952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30672000).

22328952 is an abundant number, since it is smaller than the sum of its proper divisors (39015048).

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

22328952 is a wasteful number, since it uses less digits than its factorization.

22328952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2176 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 22328952 is about 4725.3520503768. The cubic root of 22328952 is about 281.5936000074.

The spelling of 22328952 in words is "twenty-two million, three hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2129 2622 3496 4258 5244 6387 8516 10488 12774 17032 25548 40451 48967 51096 80902 97934 121353 146901 161804 195868 242706 293802 323608 391736 485412 587604 930373 970824 1175208 1860746 2791119 3721492 5582238 7442984 11164476 22328952