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223114090368 = 27313435979223
BaseRepresentation
bin1100111111001010100…
…0101101011110000000
3210022220012112010122110
43033302220231132000
512123414201342433
6250255221135320
722055655322401
oct3176250553600
9708805463573
10223114090368
11866930a6424
12372a855a540
1318068c16420
14ab27bcb9a8
155c0c7bd963
hex33f2a2d780

223114090368 has 512 divisors, whose sum is σ = 675569664000. Its totient is φ = 64791207936.

The previous prime is 223114090357. The next prime is 223114090373. The reversal of 223114090368 is 863090411322.

223114090368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231140903683 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000511505 + ... + 1000511727.

It is an arithmetic number, because the mean of its divisors is an integer number (1319472000).

Almost surely, 2223114090368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223114090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337784832000).

223114090368 is an abundant number, since it is smaller than the sum of its proper divisors (452455573632).

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

223114090368 is a wasteful number, since it uses less digits than its factorization.

223114090368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 223114090368 in words is "two hundred twenty-three billion, one hundred fourteen million, ninety thousand, three hundred sixty-eight".