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223033032 = 233213012381
BaseRepresentation
bin11010100101100…
…11011011001000
3120112200020210200
431102303123020
5424044024112
634044212200
75345515035
oct1522633310
9515606720
10223033032
11104995022
126283a060
1337290111
142189a38c
15148a8cdc
hexd4b36c8

223033032 has 48 divisors (see below), whose sum is σ = 604765980. Its totient is φ = 74256000.

The previous prime is 223032991. The next prime is 223033051. The reversal of 223033032 is 230330322.

223033032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 119115396 + 103917636 = 10914^2 + 10194^2 .

It is a super-2 number, since 2×2230330322 = 99487466726226048, which contains 22 as substring.

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 = 223032996 and 223033014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92482 + ... + 94862.

Almost surely, 2223033032 is an apocalyptic number.

It is an amenable number.

223033032 is an abundant number, since it is smaller than the sum of its proper divisors (381732948).

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

223033032 is a wasteful number, since it uses less digits than its factorization.

223033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 223033032 is about 14934.2904752787. The cubic root of 223033032 is about 606.4426397128.

Adding to 223033032 its reverse (230330322), we get a palindrome (453363354).

It can be divided in two parts, 2 and 23033032, that multiplied together give a palindrome (46066064).

The spelling of 223033032 in words is "two hundred twenty-three million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1301 2381 2602 3903 4762 5204 7143 7806 9524 10408 11709 14286 15612 19048 21429 23418 28572 31224 42858 46836 57144 85716 93672 171432 3097681 6195362 9293043 12390724 18586086 24781448 27879129 37172172 55758258 74344344 111516516 223033032