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223013213222200 = 2352831031007912941
BaseRepresentation
bin110010101101010001001111…
…010110101011010100111000
31002020121212002021101002000021
4302231101033112223110320
5213212322030041102300
62110150504504220224
764655113215205312
oct6255211726532470
91066555067332007
10223013213222200
1165071410a15505
1221019555a6a674
1397590956aab8b
143d0dc7b9687b2
151abb143687d1a
hexcad44f5ab538

223013213222200 has 192 divisors, whose sum is σ = 529940981606400. Its totient is φ = 87259484198400.

The previous prime is 223013213222123. The next prime is 223013213222269. The reversal of 223013213222200 is 2222312310322.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17233067730 + ... + 17233080670.

It is an arithmetic number, because the mean of its divisors is an integer number (2760109279200).

Almost surely, 2223013213222200 is an apocalyptic number.

223013213222200 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 223013213222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264970490803200).

223013213222200 is an abundant number, since it is smaller than the sum of its proper divisors (306927768384200).

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

223013213222200 is a wasteful number, since it uses less digits than its factorization.

223013213222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23222 (or 23213 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 223013213222200 its reverse (2222312310322), we get a palindrome (225235525532522).

The spelling of 223013213222200 in words is "two hundred twenty-three trillion, thirteen billion, two hundred thirteen million, two hundred twenty-two thousand, two hundred".