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2232100332020 = 225138585001277
BaseRepresentation
bin100000011110110011100…
…011000010000111110100
321220101102220120100201102
4200132303203002013310
5243032320141111040
64425225052345232
7320156345526626
oct40366343020764
97811386510642
102232100332020
117906a04a05a9
12300719a75218
13132642121640
147a069d10c16
153d0de65b515
hex207b38c21f4

2232100332020 has 24 divisors (see below), whose sum is σ = 5047980751464. Its totient is φ = 824160122496.

The previous prime is 2232100332001. The next prime is 2232100332079. The reversal of 2232100332020 is 202330012322.

It can be written as a sum of positive squares in 4 ways, for example, as 51038039056 + 2181062292964 = 225916^2 + 1476842^2 .

It is a super-3 number, since 3×22321003320203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2232100331983 and 2232100332001.

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 7 ways as a sum of consecutive naturals, for example, 4292500379 + ... + 4292500898.

It is an arithmetic number, because the mean of its divisors is an integer number (210332531311).

Almost surely, 22232100332020 is an apocalyptic number.

2232100332020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232100332020 is an abundant number, since it is smaller than the sum of its proper divisors (2815880419444).

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

2232100332020 is a wasteful number, since it uses less digits than its factorization.

2232100332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585001299 (or 8585001297 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2232100332020 its reverse (202330012322), we get a palindrome (2434430344342).

The spelling of 2232100332020 in words is "two trillion, two hundred thirty-two billion, one hundred million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8585001277 17170002554 34340005108 42925006385 85850012770 111605016601 171700025540 223210033202 446420066404 558025083005 1116050166010 2232100332020