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223221132 = 22327578191
BaseRepresentation
bin11010100111000…
…01010110001100
3120120000210211100
431103201112030
5424121034012
634052223100
75350230321
oct1523412614
9516023740
10223221132
11105003382
126290aa90
1337327914
1421908b48
15148e48dc
hexd4e158c

223221132 has 36 divisors (see below), whose sum is σ = 565067776. Its totient is φ = 74299680.

The previous prime is 223221109. The next prime is 223221133. The reversal of 223221132 is 231122322.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2232211323 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (223221133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23157 + ... + 31347.

Almost surely, 2223221132 is an apocalyptic number.

It is an amenable number.

223221132 is an abundant number, since it is smaller than the sum of its proper divisors (341846644).

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

223221132 is a wasteful number, since it uses less digits than its factorization.

223221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958 (or 8953 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 223221132 is about 14940.5867354666. The cubic root of 223221132 is about 606.6130775565.

Adding to 223221132 its reverse (231122322), we get a palindrome (454343454).

The spelling of 223221132 in words is "two hundred twenty-three million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 757 1514 2271 3028 4542 6813 8191 9084 13626 16382 24573 27252 32764 49146 73719 98292 147438 294876 6200587 12401174 18601761 24802348 37203522 55805283 74407044 111610566 223221132