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221040324 = 223217715087
BaseRepresentation
bin11010010110011…
…00111011000100
3120101221000022200
431023030323010
5423041242244
633533354500
75322545301
oct1513147304
9511830280
10221040324
1110385395a
1262038a30
1336a430bb
14214dc0a8
1514613669
hexd2ccec4

221040324 has 72 divisors (see below), whose sum is σ = 600058368. Its totient is φ = 68355840.

The previous prime is 221040301. The next prime is 221040353. The reversal of 221040324 is 423040122.

221040324 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 221040297 and 221040306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40909 + ... + 45995.

It is an arithmetic number, because the mean of its divisors is an integer number (8334144).

Almost surely, 2221040324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221040324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300029184).

221040324 is an abundant number, since it is smaller than the sum of its proper divisors (379018044).

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

221040324 is a wasteful number, since it uses less digits than its factorization.

221040324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221040324 is about 14867.4249283459. The cubic root of 221040324 is about 604.6311291040.

Adding to 221040324 its reverse (423040122), we get a palindrome (644080446).

The spelling of 221040324 in words is "two hundred twenty-one million, forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 71 102 142 153 204 213 284 306 426 612 639 852 1207 1278 2414 2556 3621 4828 5087 7242 10174 10863 14484 15261 20348 21726 30522 43452 45783 61044 86479 91566 172958 183132 259437 345916 361177 518874 722354 778311 1037748 1083531 1444708 1556622 2167062 3113244 3250593 4334124 6140009 6501186 12280018 13002372 18420027 24560036 36840054 55260081 73680108 110520162 221040324