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223304020233444 = 22326202889450929
BaseRepresentation
bin110010110001100000000100…
…110011011000110011100100
31002021122122201010001212221100
4302301200010303120303210
5213232103113134432234
62110532241203520100
765015116535053323
oct6261400463306344
91067578633055840
10223304020233444
1165173780997237
1221065994689030
13977a62ba88567
143d1dd87bba0ba
151ac39b3c48399
hexcb1804cd8ce4

223304020233444 has 18 divisors (see below), whose sum is σ = 564462940034630. Its totient is φ = 74434673411136.

The previous prime is 223304020233391. The next prime is 223304020233461. The reversal of 223304020233444 is 444332020403322.

223304020233444 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 0 + 4 + 0 + 202 + 3 + 3 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 222639583316544 + 664436916900 = 14921112^2 + 815130^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2233040202334442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6202889450929 = 223304020233444 / (2 + 2 + 3 + 3 + 0 + 4 + 0 + 2 + 0 + 2 + 3 + 3 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 223304020233399 and 223304020233408.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3101444725429 + ... + 3101444725500.

Almost surely, 2223304020233444 is an apocalyptic number.

It is an amenable number.

223304020233444 is an abundant number, since it is smaller than the sum of its proper divisors (341158919801186).

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

223304020233444 is a wasteful number, since it uses less digits than its factorization.

223304020233444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202889450939 (or 6202889450934 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 223304020233444 its reverse (444332020403322), we get a palindrome (667636040636766).

The spelling of 223304020233444 in words is "two hundred twenty-three trillion, three hundred four billion, twenty million, two hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6202889450929 12405778901858 18608668352787 24811557803716 37217336705574 55826005058361 74434673411148 111652010116722 223304020233444