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223010100000000 = 283258372181
BaseRepresentation
bin110010101101001110010101…
…110010101011010100000000
31002020121120001022022000000100
4302231032111302223110000
5213212244141100000000
62110145231533122400
764654643113230615
oct6255162562532400
91066546038260010
10223010100000000
11650700636525a5
1221018a27329400
1397589ba703771
143d0da642cc50c
151abb0101cba00
hexcad395cab500

223010100000000 has 1458 divisors, whose sum is σ = 830614604998542. Its totient is φ = 57542400000000.

The previous prime is 223010099999909. The next prime is 223010100000059. The reversal of 223010100000000 is 1010322.

It is a happy number.

It can be written as a sum of positive squares in 27 ways, for example, as 799321826304 + 222210778173696 = 894048^2 + 14906736^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1232099999910 + ... + 1232100000090.

Almost surely, 2223010100000000 is an apocalyptic number.

223010100000000 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 223010100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415307302499271).

223010100000000 is an abundant number, since it is smaller than the sum of its proper divisors (607604504998542).

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

223010100000000 is an frugal number, since it uses more digits than its factorization.

223010100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 223010100000000 its reverse (1010322), we get a palindrome (223010101010322).

The spelling of 223010100000000 in words is "two hundred twenty-three trillion, ten billion, one hundred million", and thus it is an aban number.