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222528 = 2631961
BaseRepresentation
bin110110010101000000
3102022020210
4312111000
524110103
64434120
71614525
oct662500
9368223
10222528
11142209
12a8940
137a397
145b14c
1545e03
hex36540

222528 has 56 divisors (see below), whose sum is σ = 629920. Its totient is φ = 69120.

The previous prime is 222527. The next prime is 222533. The reversal of 222528 is 825222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3618 + ... + 3678.

2222528 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 222528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314960).

222528 is an abundant number, since it is smaller than the sum of its proper divisors (407392).

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

222528 is a wasteful number, since it uses less digits than its factorization.

222528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 222528 is about 471.7287356098. The cubic root of 222528 is about 60.5984554497.

The spelling of 222528 in words is "two hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 152 183 192 228 244 304 366 456 488 608 732 912 976 1159 1216 1464 1824 1952 2318 2928 3477 3648 3904 4636 5856 6954 9272 11712 13908 18544 27816 37088 55632 74176 111264 222528