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221232231220 = 22571113171036311
BaseRepresentation
bin1100111000001001110…
…1111111001100110100
3210011001001110210012111
43032002131333030310
512111040422344340
6245344354300404
721661224636520
oct3160235771464
9704031423174
10221232231220
1185907910830
1236a62287704
1317b290949c0
14a9c9cc6d80
155b4c495aea
hex338277f334

221232231220 has 384 divisors, whose sum is σ = 666993180672. Its totient is φ = 59316019200.

The previous prime is 221232231163. The next prime is 221232231281. The reversal of 221232231220 is 22132232122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221232231191 and 221232231200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35051865 + ... + 35058175.

It is an arithmetic number, because the mean of its divisors is an integer number (1736961408).

Almost surely, 2221232231220 is an apocalyptic number.

221232231220 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 221232231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333496590336).

221232231220 is an abundant number, since it is smaller than the sum of its proper divisors (445760949452).

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

221232231220 is a wasteful number, since it uses less digits than its factorization.

221232231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 221232231220 its reverse (22132232122), we get a palindrome (243364463342).

The spelling of 221232231220 in words is "two hundred twenty-one billion, two hundred thirty-two million, two hundred thirty-one thousand, two hundred twenty".