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20022211200 = 2735210320249
BaseRepresentation
bin10010101001011010…
…101011001010000000
31220200101022201021210
4102221122223022000
5312001141224300
613110441250120
71306111662405
oct225132531200
956611281253
1020022211200
11854501a692
123a69493940
131b71183664
14d7d2282ac
157c2ba7050
hex4a96ab280

20022211200 has 192 divisors, whose sum is σ = 66591720000. Its totient is φ = 5287157760.

The previous prime is 20022211189. The next prime is 20022211207. The reversal of 20022211200 is 211222002.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (20022211207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978676 + ... + 998924.

It is an arithmetic number, because the mean of its divisors is an integer number (346831875).

Almost surely, 220022211200 is an apocalyptic number.

20022211200 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 20022211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33295860000).

20022211200 is an abundant number, since it is smaller than the sum of its proper divisors (46569508800).

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

20022211200 is a wasteful number, since it uses less digits than its factorization.

20022211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20379 (or 20362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20022211200 its reverse (211222002), we get a palindrome (20233433202).

The spelling of 20022211200 in words is "twenty billion, twenty-two million, two hundred eleven thousand, two hundred".