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221343330 = 23513975851
BaseRepresentation
bin11010011000101…
…10111001100010
3120102111101222010
431030112321202
5423130441310
633544053350
75325246555
oct1514267142
9512441863
10221343330
11103a4057a
1262164256
1336b1acb0
142157a69c
1514673320
hexd316e62

221343330 has 64 divisors (see below), whose sum is σ = 578083968. Its totient is φ = 53913600.

The previous prime is 221343313. The next prime is 221343337. The reversal of 221343330 is 33343122.

221343330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221343297 and 221343306.

It is not an unprimeable number, because it can be changed into a prime (221343337) 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, 34905 + ... + 40755.

It is an arithmetic number, because the mean of its divisors is an integer number (9032562).

Almost surely, 2221343330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221343330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289041984).

221343330 is an abundant number, since it is smaller than the sum of its proper divisors (356740638).

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

221343330 is a wasteful number, since it uses less digits than its factorization.

221343330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 221343330 is about 14877.6117034960. The cubic root of 221343330 is about 604.9072826520.

Adding to 221343330 its reverse (33343122), we get a palindrome (254686452).

The spelling of 221343330 in words is "two hundred twenty-one million, three hundred forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 97 130 194 195 291 390 485 582 970 1261 1455 2522 2910 3783 5851 6305 7566 11702 12610 17553 18915 29255 35106 37830 58510 76063 87765 152126 175530 228189 380315 456378 567547 760630 1135094 1140945 1702641 2281890 2837735 3405282 5675470 7378111 8513205 14756222 17026410 22134333 36890555 44268666 73781110 110671665 221343330