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220312200000 = 26355599613
BaseRepresentation
bin1100110100101110100…
…0010110001101000000
3210001122221021100122010
43031023220112031000
512102144410400000
6245113211012520
721626353541664
oct3151350261500
9701587240563
10220312200000
1185485547752
123684613a140
1317a105a6929
14a93da348a4
155ae680dd50
hex334ba16340

220312200000 has 336 divisors, whose sum is σ = 730996963200. Its totient is φ = 58556160000.

The previous prime is 220312199911. The next prime is 220312200037. The reversal of 220312200000 is 2213022.

220312200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359399694 + ... + 359400306.

It is an arithmetic number, because the mean of its divisors is an integer number (2175586200).

Almost surely, 2220312200000 is an apocalyptic number.

220312200000 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 220312200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365498481600).

220312200000 is an abundant number, since it is smaller than the sum of its proper divisors (510684763200).

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

220312200000 is an frugal number, since it uses more digits than its factorization.

220312200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 220312200000 its reverse (2213022), we get a palindrome (220314413022).

The spelling of 220312200000 in words is "two hundred twenty billion, three hundred twelve million, two hundred thousand".