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223645046040 = 2332513405711779
BaseRepresentation
bin1101000001001001001…
…0001001010100011000
3210101021012121110220100
43100102102021110120
512131011112433130
6250424025255400
722105063345203
oct3202222112430
9711235543810
10223645046040
1186935886269
1237416334560
1318121c19490
14ab7852093a
155c3e1edc60
hex3412489518

223645046040 has 192 divisors, whose sum is σ = 783017071200. Its totient is φ = 55032846336.

The previous prime is 223645046003. The next prime is 223645046057. The reversal of 223645046040 is 40640546322.

223645046040 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 45 + 0 + 4 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223645045986 and 223645046004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18980871 + ... + 18992649.

Almost surely, 2223645046040 is an apocalyptic number.

223645046040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223645046040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391508535600).

223645046040 is an abundant number, since it is smaller than the sum of its proper divisors (559372025160).

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

223645046040 is a wasteful number, since it uses less digits than its factorization.

223645046040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15866 (or 15859 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 223645046040 in words is "two hundred twenty-three billion, six hundred forty-five million, forty-six thousand, forty".