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228222 = 23231409
BaseRepresentation
bin110111101101111110
3102121001200
4313231332
524300342
64520330
71640241
oct675576
9377050
10228222
11146515
12b00a6
137cb57
145d258
154794c
hex37b7e

228222 has 24 divisors (see below), whose sum is σ = 511680. Its totient is φ = 73440.

The previous prime is 228211. The next prime is 228223. The reversal of 228222 is 222822.

228222 is nontrivially palindromic in base 5 and base 8.

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

It is a junction number, because it is equal to n+sod(n) for n = 228195 and 228204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228223) by changing a digit.

228222 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 11 ways as a sum of consecutive naturals, for example, 354 + ... + 762.

It is an arithmetic number, because the mean of its divisors is an integer number (21320).

2228222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255840).

228222 is an abundant number, since it is smaller than the sum of its proper divisors (283458).

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

228222 is a wasteful number, since it uses less digits than its factorization.

228222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 445 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 228222 is about 477.7258628126. The cubic root of 228222 is about 61.1109688396.

It can be divided in two parts, 2282 and 22, that added together give a square (2304 = 482).

The spelling of 228222 in words is "two hundred twenty-eight thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 409 558 818 1227 2454 3681 7362 12679 25358 38037 76074 114111 228222