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200122200000 = 263255731523
BaseRepresentation
bin1011101001100000110…
…1100110111111000000
3201010112212020002101100
42322120031212333000
511234322240400000
6231533533134400
720313133430142
oct2723015467700
9633485202340
10200122200000
1177964845938
123295062a400
1315b43736578
149986410c92
155314061a00
hex2e98366fc0

200122200000 has 504 divisors, whose sum is σ = 727270545456. Its totient is φ = 52600320000.

The previous prime is 200122199987. The next prime is 200122200017. The reversal of 200122200000 is 2221002.

200122200000 is digitally balanced in base 2, 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 (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131399239 + ... + 131400761.

It is an arithmetic number, because the mean of its divisors is an integer number (1442997114).

Almost surely, 2200122200000 is an apocalyptic number.

200122200000 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 200122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363635272728).

200122200000 is an abundant number, since it is smaller than the sum of its proper divisors (527148345456).

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

200122200000 is an equidigital number, since it uses as much as digits as its factorization.

200122200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 200122200000 its reverse (2221002), we get a palindrome (200124421002).

The spelling of 200122200000 in words is "two hundred billion, one hundred twenty-two million, two hundred thousand".