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221003231220 = 2233523109163249
BaseRepresentation
bin1100110111010011010…
…0011010111111110100
3210010110002120101021000
43031310310122333310
512110103311344340
6245305534123300
721652444320162
oct3156464327764
9703402511230
10221003231220
11857aa620732
12369b9650530
1317ac07c5945
14a9a7716232
155b3730dd30
hex3374d1aff4

221003231220 has 192 divisors, whose sum is σ = 724046400000. Its totient is φ = 55854323712.

The previous prime is 221003231203. The next prime is 221003231231. The reversal of 221003231220 is 22132300122.

221003231220 is a `hidden beast` number, since 2 + 210 + 0 + 3 + 231 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221003231193 and 221003231202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1272156 + ... + 1435404.

It is an arithmetic number, because the mean of its divisors is an integer number (3771075000).

Almost surely, 2221003231220 is an apocalyptic number.

221003231220 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 221003231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362023200000).

221003231220 is an abundant number, since it is smaller than the sum of its proper divisors (503043168780).

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

221003231220 is a wasteful number, since it uses less digits than its factorization.

221003231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163399 (or 163391 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221003231220 its reverse (22132300122), we get a palindrome (243135531342).

The spelling of 221003231220 in words is "two hundred twenty-one billion, three million, two hundred thirty-one thousand, two hundred twenty".