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223114112000 = 2105313197057
BaseRepresentation
bin1100111111001010100…
…0110010110000000000
3210022220012120020022122
43033302220302300000
512123414203041000
6250255221423412
722055655442433
oct3176250626000
9708805506278
10223114112000
11866931106aa
12372a856ab68
1318068c23220
14ab27bd581a
155c0c7c5085
hex33f2a32c00

223114112000 has 352 divisors, whose sum is σ = 631076671680. Its totient is φ = 78033715200.

The previous prime is 223114111939. The next prime is 223114112003. The reversal of 223114112000 is 211411322.

It is a super-3 number, since 3×2231141120003 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223114112000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223114112003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31612472 + ... + 31619528.

Almost surely, 2223114112000 is an apocalyptic number.

223114112000 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 223114112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315538335840).

223114112000 is an abundant number, since it is smaller than the sum of its proper divisors (407962559680).

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

223114112000 is a wasteful number, since it uses less digits than its factorization.

223114112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7124 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 223114112000 its reverse (211411322), we get a palindrome (223325523322).

The spelling of 223114112000 in words is "two hundred twenty-three billion, one hundred fourteen million, one hundred twelve thousand".