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222372 = 22332971
BaseRepresentation
bin110110010010100100
3102022001000
4312102210
524103442
64433300
71614213
oct662244
9368030
10222372
11142087
12a8830
137a2a7
145b07a
1545d4c
hex364a4

222372 has 48 divisors (see below), whose sum is σ = 604800. Its totient is φ = 70560.

The previous prime is 222367. The next prime is 222379. The reversal of 222372 is 273222.

222372 is nontrivially palindromic in base 13.

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

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 6 and base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 222372.

It is not an unprimeable number, because it can be changed into a prime (222379) by changing a digit.

222372 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3097 + ... + 3167.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2222372 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 222372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

222372 is an abundant number, since it is smaller than the sum of its proper divisors (382428).

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

222372 is a wasteful number, since it uses less digits than its factorization.

222372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 222372 is about 471.5633573551. The cubic root of 222372 is about 60.5842915858.

Adding to 222372 its reverse (273222), we get a palindrome (495594).

It can be divided in two parts, 2 and 22372, that multiplied together give a palindrome (44744).

The spelling of 222372 in words is "two hundred twenty-two thousand, three hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 71 87 108 116 142 174 213 261 284 348 426 522 639 783 852 1044 1278 1566 1917 2059 2556 3132 3834 4118 6177 7668 8236 12354 18531 24708 37062 55593 74124 111186 222372