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22320324 = 223213371289
BaseRepresentation
bin101010100100…
…1010011000100
31112222222201200
41111021103010
521203222244
62114222500
7360501555
oct125112304
945888650
1022320324
1111665654
127584a30
1348165c0
142d7032c
151e5d669
hex15494c4

22320324 has 72 divisors (see below), whose sum is σ = 62451480. Its totient is φ = 6676992.

The previous prime is 22320317. The next prime is 22320391. The reversal of 22320324 is 42302322.

22320324 is a `hidden beast` number, since 22 + 320 + 324 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6969600 + 15350724 = 2640^2 + 3918^2 .

It is a super-3 number, since 3×223203243 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22320297 and 22320306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16672 + ... + 17960.

Almost surely, 222320324 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 22320324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31225740).

22320324 is an abundant number, since it is smaller than the sum of its proper divisors (40131156).

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

22320324 is a wasteful number, since it uses less digits than its factorization.

22320324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 22320324 is about 4724.4390143169. The cubic root of 22320324 is about 281.5573256884.

Adding to 22320324 its reverse (42302322), we get a palindrome (64622646).

It can be divided in two parts, 2232032 and 4, that added together give a square (2232036 = 14942).

The spelling of 22320324 in words is "twenty-two million, three hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1289 1332 1443 1924 2578 2886 3867 4329 5156 5772 7734 8658 11601 15468 16757 17316 23202 33514 46404 47693 50271 67028 95386 100542 143079 150813 190772 201084 286158 301626 429237 572316 603252 620009 858474 1240018 1716948 1860027 2480036 3720054 5580081 7440108 11160162 22320324