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2202133252000 = 255311235341057
BaseRepresentation
bin100000000010111001010…
…111101100011110100000
321210112002110012222001211
4200002321113230132200
5242034432103031000
64403351314035504
7315045625540453
oct40027127543640
97715073188054
102202133252000
11779a128a1870
122b6955b78b94
1312c877814626
1478825dd549a
153c4388867ba
hex200b95ec7a0

2202133252000 has 384 divisors, whose sum is σ = 6275512309248. Its totient is φ = 751489024000.

The previous prime is 2202133251949. The next prime is 2202133252079. The reversal of 2202133252000 is 2523312022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53615472 + ... + 53656528.

It is an arithmetic number, because the mean of its divisors is an integer number (16342479972).

Almost surely, 22202133252000 is an apocalyptic number.

2202133252000 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 2202133252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137756154624).

2202133252000 is an abundant number, since it is smaller than the sum of its proper divisors (4073379057248).

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

2202133252000 is a wasteful number, since it uses less digits than its factorization.

2202133252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41169 (or 41151 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 2202133252000 its reverse (2523312022), we get a palindrome (2204656564022).

The spelling of 2202133252000 in words is "two trillion, two hundred two billion, one hundred thirty-three million, two hundred fifty-two thousand".