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221430 = 23511261
BaseRepresentation
bin110110000011110110
3102020202010
4312003312
524041210
64425050
71611366
oct660366
9366663
10221430
11141400
12a8186
1379a31
145a9a6
1545920
hex360f6

221430 has 48 divisors (see below), whose sum is σ = 593712. Its totient is φ = 52800.

The previous prime is 221413. The next prime is 221447. The reversal of 221430 is 34122.

221430 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (221413) and next prime (221447).

It is a Curzon number.

It is a congruent number.

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, 3600 + ... + 3660.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2221430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856).

221430 is an abundant number, since it is smaller than the sum of its proper divisors (372282).

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

221430 is a wasteful number, since it uses less digits than its factorization.

221430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 221430 is about 470.5634919966. The cubic root of 221430 is about 60.4986225582.

Adding to 221430 its reverse (34122), we get a palindrome (255552).

The spelling of 221430 in words is "two hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 121 122 165 183 242 305 330 363 366 605 610 671 726 915 1210 1342 1815 1830 2013 3355 3630 4026 6710 7381 10065 14762 20130 22143 36905 44286 73810 110715 221430