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22372 = 2271747
BaseRepresentation
bin101011101100100
31010200121
411131210
51203442
6251324
7122140
oct53544
933617
1022372
1115899
1210b44
13a24c
148220
156967
hex5764

22372 has 24 divisors (see below), whose sum is σ = 48384. Its totient is φ = 8832.

The previous prime is 22369. The next prime is 22381. The reversal of 22372 is 27322.

It is a happy number.

It is a d-powerful number, because it can be written as 25 + 27 + 39 + 74 + 27 .

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

222372 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 22372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192).

22372 is an abundant number, since it is smaller than the sum of its proper divisors (26012).

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

22372 is a wasteful number, since it uses less digits than its factorization.

22372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 73 counting only the distinct ones).

The product of its digits is 168, while the sum is 16.

The square root of 22372 is about 149.5727247863. The cubic root of 22372 is about 28.1774445330.

Adding to 22372 its reverse (27322), we get a palindrome (49694).

Subtracting 22372 from its reverse (27322), we obtain a triangular number (4950 = T99).

The spelling of 22372 in words is "twenty-two thousand, three hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 4 7 14 17 28 34 47 68 94 119 188 238 329 476 658 799 1316 1598 3196 5593 11186 22372