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220213233000 = 23325337261293
BaseRepresentation
bin1100110100010110111…
…0110100010101101000
3210001102001001022102200
43031011232310111220
512101444041424000
6245055313500200
721624042411315
oct3150556642550
9701361038380
10220213233000
11854346a1342
1236818b71660
13179c5c35387
14a930831d0c
155adccb0500
hex3345bb4568

220213233000 has 576 divisors, whose sum is σ = 780175534320. Its totient is φ = 56007936000.

The previous prime is 220213232971. The next prime is 220213233067. The reversal of 220213233000 is 332312022.

It is a happy number.

220213233000 is a `hidden beast` number, since 2 + 20 + 21 + 323 + 300 + 0 = 666.

220213233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 6819126084 + 213394106916 = 82578^2 + 461946^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 751580854 + ... + 751581146.

Almost surely, 2220213233000 is an apocalyptic number.

220213233000 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 220213233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390087767160).

220213233000 is an abundant number, since it is smaller than the sum of its proper divisors (559962301320).

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

220213233000 is a wasteful number, since it uses less digits than its factorization.

220213233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 220213233000 its reverse (332312022), we get a palindrome (220545545022).

The spelling of 220213233000 in words is "two hundred twenty billion, two hundred thirteen million, two hundred thirty-three thousand".