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221330430 = 232519711823
BaseRepresentation
bin11010011000100…
…11101111111110
3120102110202021100
431030103233332
5423130033210
633543513530
75325164136
oct1514235776
9512422240
10221330430
11103a31912
12621588a6
1336b15169
1421575ac6
151466e5c0
hexd313bfe

221330430 has 96 divisors (see below), whose sum is σ = 614615040. Its totient is φ = 55097280.

The previous prime is 221330401. The next prime is 221330437. The reversal of 221330430 is 34033122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221330437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120499 + ... + 122321.

It is an arithmetic number, because the mean of its divisors is an integer number (6402240).

Almost surely, 2221330430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221330430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307307520).

221330430 is an abundant number, since it is smaller than the sum of its proper divisors (393284610).

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

221330430 is a wasteful number, since it uses less digits than its factorization.

221330430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 221330430 is about 14877.1781598528. The cubic root of 221330430 is about 604.8955309907.

Adding to 221330430 its reverse (34033122), we get a palindrome (255363552).

The spelling of 221330430 in words is "two hundred twenty-one million, three hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 71 90 95 114 142 171 190 213 285 342 355 426 570 639 710 855 1065 1278 1349 1710 1823 2130 2698 3195 3646 4047 5469 6390 6745 8094 9115 10938 12141 13490 16407 18230 20235 24282 27345 32814 34637 40470 54690 60705 69274 82035 103911 121410 129433 164070 173185 207822 258866 311733 346370 388299 519555 623466 647165 776598 1039110 1164897 1294330 1558665 1941495 2329794 2459227 3117330 3882990 4918454 5824485 7377681 11648970 12296135 14755362 22133043 24592270 36888405 44266086 73776810 110665215 221330430