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223313230013220 = 2233523374311301151
BaseRepresentation
bin110010110001101000101001…
…101111111010001100100100
31002021200112110221220011201000
4302301220221233322030210
5213232230443340410340
62110540403121233300
765015564005643244
oct6261505157721444
91067615427804630
10223313230013220
1165177677640086
1221067724a92830
13977b468b383a9
143d205bcddbb24
151ac3d52561d30
hexcb1a29bfa324

223313230013220 has 384 divisors, whose sum is σ = 761867614126080. Its totient is φ = 54132689318400.

The previous prime is 223313230013173. The next prime is 223313230013273. The reversal of 223313230013220 is 22310032313322.

223313230013220 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 1 + 32 + 300 + 1 + 322 + 0 = 666.

223313230013220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14109645 + ... + 25410795.

It is an arithmetic number, because the mean of its divisors is an integer number (1984030245120).

Almost surely, 2223313230013220 is an apocalyptic number.

223313230013220 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 223313230013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380933807063040).

223313230013220 is an abundant number, since it is smaller than the sum of its proper divisors (538554384112860).

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

223313230013220 is a wasteful number, since it uses less digits than its factorization.

223313230013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11301272 (or 11301264 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 223313230013220 its reverse (22310032313322), we get a palindrome (245623262326542).

The spelling of 223313230013220 in words is "two hundred twenty-three trillion, three hundred thirteen billion, two hundred thirty million, thirteen thousand, two hundred twenty".