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222420 = 223511337
BaseRepresentation
bin110110010011010100
3102022002210
4312103110
524104140
64433420
71614312
oct662324
9368083
10222420
11142120
12a8870
137a313
145b0b2
1545d80
hex364d4

222420 has 48 divisors (see below), whose sum is σ = 681408. Its totient is φ = 53760.

The previous prime is 222419. The next prime is 222437. The reversal of 222420 is 24222.

Adding to 222420 its reverse (24222), we get a palindrome (246642).

It can be divided in two parts, 22 and 2420, that added together give a palindrome (2442).

It is a happy number.

222420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 222396 and 222405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492 + ... + 828.

It is an arithmetic number, because the mean of its divisors is an integer number (14196).

2222420 is an apocalyptic number.

222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340704).

222420 is an abundant number, since it is smaller than the sum of its proper divisors (458988).

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

222420 is a wasteful number, since it uses less digits than its factorization.

222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 222420 is about 471.6142491486. The cubic root of 222420 is about 60.5886504031.

The spelling of 222420 in words is "two hundred twenty-two thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 337 660 674 1011 1348 1685 2022 3370 3707 4044 5055 6740 7414 10110 11121 14828 18535 20220 22242 37070 44484 55605 74140 111210 222420