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22356 = 223523
BaseRepresentation
bin101011101010100
31010200000
411131110
51203411
6251300
7122115
oct53524
933600
1022356
1115884
1210b30
13a239
14820c
156956
hex5754

22356 has 36 divisors (see below), whose sum is σ = 61152. Its totient is φ = 7128.

The previous prime is 22349. The next prime is 22367. The reversal of 22356 is 65322.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an Ulam number.

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 961 + ... + 983.

222356 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 22356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30576).

22356 is an abundant number, since it is smaller than the sum of its proper divisors (38796).

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

22356 is a wasteful number, since it uses less digits than its factorization.

22356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 28 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 22356 is about 149.5192295325. The cubic root of 22356 is about 28.1707256190.

Adding to 22356 its reverse (65322), we get a palindrome (87678).

It can be divided in two parts, 22 and 356, that added together give a triangular number (378 = T27).

The spelling of 22356 in words is "twenty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 828 972 1242 1863 2484 3726 5589 7452 11178 22356