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220300223000 = 235311213433257
BaseRepresentation
bin1100110100101011101…
…0101010001000011000
3210001122002201212021112
43031022322222020120
512102133324114000
6245112102155452
721626146666424
oct3151272521030
9701562655245
10220300223000
1185479807200
1236842122b88
1317a0ac72250
14a93c1d7b84
155ae5745235
hex334aeaa218

220300223000 has 384 divisors, whose sum is σ = 624596132160. Its totient is φ = 72205056000.

The previous prime is 220300222991. The next prime is 220300223111. The reversal of 220300223000 is 322003022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67637372 + ... + 67640628.

Almost surely, 2220300223000 is an apocalyptic number.

220300223000 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 220300223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312298066080).

220300223000 is an abundant number, since it is smaller than the sum of its proper divisors (404295909160).

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

220300223000 is a wasteful number, since it uses less digits than its factorization.

220300223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 220300223000 its reverse (322003022), we get a palindrome (220622226022).

It can be divided in two parts, 22030022 and 3000, that added together give a palindrome (22033022).

The spelling of 220300223000 in words is "two hundred twenty billion, three hundred million, two hundred twenty-three thousand".