Search a number
-
+
221303212000 = 25531317250343
BaseRepresentation
bin1100111000011010110…
…0110000011111100000
3210011020000000222112021
43032012230300133200
512111212110241000
6245355411511224
721663046156543
oct3160654603740
9704200028467
10221303212000
1185943991732
1236a81bb8514
1317b3a9b7a70
14a9d54c285a
155b5381711a
hex3386b307e0

221303212000 has 192 divisors, whose sum is σ = 620015969664. Its totient is φ = 76905062400.

The previous prime is 221303211991. The next prime is 221303212001. The reversal of 221303212000 is 212303122.

It is a super-2 number, since 2×2213032120002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221303212001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758829 + ... + 1009171.

It is an arithmetic number, because the mean of its divisors is an integer number (3229249842).

Almost surely, 2221303212000 is an apocalyptic number.

221303212000 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 221303212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310007984832).

221303212000 is an abundant number, since it is smaller than the sum of its proper divisors (398712757664).

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

221303212000 is a wasteful number, since it uses less digits than its factorization.

221303212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250398 (or 250380 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 221303212000 its reverse (212303122), we get a palindrome (221515515122).

The spelling of 221303212000 in words is "two hundred twenty-one billion, three hundred three million, two hundred twelve thousand".