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222894 = 23272961
BaseRepresentation
bin110110011010101110
3102022202100
4312122232
524113034
64435530
71615560
oct663256
9368670
10222894
11142511
12a8ba6
137a5b9
145b330
1546099
hex366ae

222894 has 48 divisors (see below), whose sum is σ = 580320. Its totient is φ = 60480.

The previous prime is 222883. The next prime is 222913. The reversal of 222894 is 498222.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

222894 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3624 + ... + 3684.

It is an arithmetic number, because the mean of its divisors is an integer number (12090).

2222894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

222894 is an abundant number, since it is smaller than the sum of its proper divisors (357426).

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

222894 is a wasteful number, since it uses less digits than its factorization.

222894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 102 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 222894 is about 472.1165110436. The cubic root of 222894 is about 60.6316600895.

It can be divided in two parts, 22 and 2894, that added together give a square (2916 = 542).

The spelling of 222894 in words is "two hundred twenty-two thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 61 63 87 122 126 174 183 203 261 366 406 427 522 549 609 854 1098 1218 1281 1769 1827 2562 3538 3654 3843 5307 7686 10614 12383 15921 24766 31842 37149 74298 111447 222894