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2200000133232 = 2434111391110223
BaseRepresentation
bin100000000000111010001…
…110011111100001110000
321210022120210101022020000
4200000322032133201300
5242021100013230412
64402355513550000
7314642024405346
oct40007216374160
97708523338200
102200000133232
117790187a30a0
122b645b715300
1312c5c78cc085
14786a29a7996
153c36147b4dc
hex2003a39f870

2200000133232 has 200 divisors, whose sum is σ = 6996276376320. Its totient is φ = 661869947520.

The previous prime is 2200000133207. The next prime is 2200000133239. The reversal of 2200000133232 is 2323310000022.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200000133239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1426473 + ... + 2536695.

Almost surely, 22200000133232 is an apocalyptic number.

2200000133232 is a gapful number since it is divisible by the number (22) 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 2200000133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498138188160).

2200000133232 is an abundant number, since it is smaller than the sum of its proper divisors (4796276243088).

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

2200000133232 is a wasteful number, since it uses less digits than its factorization.

2200000133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110393 (or 1110378 counting only the distinct ones).

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

Adding to 2200000133232 its reverse (2323310000022), we get a palindrome (4523310133254).

The spelling of 2200000133232 in words is "two trillion, two hundred billion, one hundred thirty-three thousand, two hundred thirty-two".