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20022241200 = 2435213298729
BaseRepresentation
bin10010101001011010…
…110010011110110000
31220200101101020102220
4102221122302132300
5312001143204300
613110442041040
71306112146023
oct225132623660
956611336386
1020022241200
118545040185
123a694a9180
131b71194200
14d7d2351ba
157c2bb0da0
hex4a96b27b0

20022241200 has 180 divisors, whose sum is σ = 69451815960. Its totient is φ = 4928501760.

The previous prime is 20022241193. The next prime is 20022241223. The reversal of 20022241200 is 214222002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20022241200.

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 35 ways as a sum of consecutive naturals, for example, 153436 + ... + 252164.

It is an arithmetic number, because the mean of its divisors is an integer number (385843422).

Almost surely, 220022241200 is an apocalyptic number.

20022241200 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 20022241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34725907980).

20022241200 is an abundant number, since it is smaller than the sum of its proper divisors (49429574760).

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

20022241200 is a wasteful number, since it uses less digits than its factorization.

20022241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98776 (or 98752 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20022241200 its reverse (214222002), we get a palindrome (20236463202).

The spelling of 20022241200 in words is "twenty billion, twenty-two million, two hundred forty-one thousand, two hundred".