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221233340 = 225195771009
BaseRepresentation
bin11010010111111…
…00000010111100
3120102021211002102
431023330002330
5423113431330
633541444232
75324311106
oct1513740274
9512254072
10221233340
11103975979
1262110678
1336aacc03
142154c576
1514650945
hexd2fc0bc

221233340 has 48 divisors (see below), whose sum is σ = 490375200. Its totient is φ = 83607552.

The previous prime is 221233339. The next prime is 221233357. The reversal of 221233340 is 43332122.

221233340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218756 + ... + 219764.

It is an arithmetic number, because the mean of its divisors is an integer number (10216150).

Almost surely, 2221233340 is an apocalyptic number.

221233340 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 221233340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245187600).

221233340 is an abundant number, since it is smaller than the sum of its proper divisors (269141860).

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

221233340 is a wasteful number, since it uses less digits than its factorization.

221233340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1612 counting only the distinct ones).

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

The square root of 221233340 is about 14873.9147503272. The cubic root of 221233340 is about 604.8070691425.

Adding to 221233340 its reverse (43332122), we get a palindrome (264565462).

The spelling of 221233340 in words is "two hundred twenty-one million, two hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 577 1009 1154 2018 2308 2885 4036 5045 5770 10090 10963 11540 19171 20180 21926 38342 43852 54815 76684 95855 109630 191710 219260 383420 582193 1164386 2328772 2910965 5821930 11061667 11643860 22123334 44246668 55308335 110616670 221233340