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20223112000 = 265371327779
BaseRepresentation
bin10010110101011001…
…000011001101000000
31221012101100112101011
4102311121003031000
5312404104041000
613142415250304
71314101421130
oct226531031500
957171315334
1020223112000
118638468403
123b04819994
131ba3994980
14d9bba2ac0
157d563d2ba
hex4b5643340

20223112000 has 224 divisors, whose sum is σ = 61642264320. Its totient is φ = 6400051200.

The previous prime is 20223111989. The next prime is 20223112001. The reversal of 20223112000 is 21132202.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20223112001) 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, 714111 + ... + 741889.

It is an arithmetic number, because the mean of its divisors is an integer number (275188680).

Almost surely, 220223112000 is an apocalyptic number.

20223112000 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 20223112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30821132160).

20223112000 is an abundant number, since it is smaller than the sum of its proper divisors (41419152320).

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

20223112000 is a wasteful number, since it uses less digits than its factorization.

20223112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27826 (or 27806 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20223112000 its reverse (21132202), we get a palindrome (20244244202).

It can be divided in two parts, 20 and 223112000, that multiplied together give a square (4462240000 = 668002).

The spelling of 20223112000 in words is "twenty billion, two hundred twenty-three million, one hundred twelve thousand".