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2022203133000 = 2332531811241377
BaseRepresentation
bin11101011011010100101…
…100110000110001001000
321011022122210221212112100
4131123110230300301020
5231112433000224000
64144553131113400
7266046036010161
oct35332454606110
97138583855470
102022203133000
1170a67aa4a286
12287abb8a2860
131189014c96ab
146dc375ca768
1537907383a00
hex1d6d4b30c48

2022203133000 has 192 divisors, whose sum is σ = 6872814814320. Its totient is φ = 536274432000.

The previous prime is 2022203132977. The next prime is 2022203133001. The reversal of 2022203133000 is 3313022202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 49419957636 + 1972783175364 = 222306^2 + 1404558^2 .

It is a super-2 number, since 2×20222031330002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2022203133001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1008312 + ... + 2249688.

Almost surely, 22022203133000 is an apocalyptic number.

2022203133000 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 2022203133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436407407160).

2022203133000 is an abundant number, since it is smaller than the sum of its proper divisors (4850611681320).

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

2022203133000 is a wasteful number, since it uses less digits than its factorization.

2022203133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241585 (or 1241568 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2022203133000 its reverse (3313022202), we get a palindrome (2025516155202).

The spelling of 2022203133000 in words is "two trillion, twenty-two billion, two hundred three million, one hundred thirty-three thousand".