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20317224200 = 235271310710433
BaseRepresentation
bin10010111011000000…
…000011110100001000
31221102221102221001012
4102323000003310020
5313102202133300
613200020343052
71316323361540
oct227300036410
957387387035
1020317224200
1186865a8289
123b30244a88
131bba326570
14daa4a0320
157dda2d435
hex4bb003d08

20317224200 has 192 divisors, whose sum is σ = 58687493760. Its totient is φ = 6369361920.

The previous prime is 20317224181. The next prime is 20317224217. The reversal of 20317224200 is 242271302.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1942184 + ... + 1952616.

It is an arithmetic number, because the mean of its divisors is an integer number (305664030).

Almost surely, 220317224200 is an apocalyptic number.

20317224200 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 20317224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29343746880).

20317224200 is an abundant number, since it is smaller than the sum of its proper divisors (38370269560).

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

20317224200 is a wasteful number, since it uses less digits than its factorization.

20317224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10576 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

Adding to 20317224200 its reverse (242271302), we get a palindrome (20559495502).

The spelling of 20317224200 in words is "twenty billion, three hundred seventeen million, two hundred twenty-four thousand, two hundred".