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221302146 = 231312132339
BaseRepresentation
bin11010011000011…
…00110110000010
3120102102022110210
431030030312002
5423123132041
633543134550
75325015522
oct1514146602
9512368423
10221302146
11103a1263a
1262144456
1336b05320
1421569682
1514666016
hexd30cd82

221302146 has 32 divisors (see below), whose sum is σ = 477247680. Its totient is φ = 68007744.

The previous prime is 221302111. The next prime is 221302163. The reversal of 221302146 is 641203122.

221302146 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 93445 + ... + 95783.

It is an arithmetic number, because the mean of its divisors is an integer number (14913990).

Almost surely, 2221302146 is an apocalyptic number.

221302146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

221302146 is an abundant number, since it is smaller than the sum of its proper divisors (255945534).

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

221302146 is a wasteful number, since it uses less digits than its factorization.

221302146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 221302146 is about 14876.2275459876. The cubic root of 221302146 is about 604.8697631918.

Adding to 221302146 its reverse (641203122), we get a palindrome (862505268).

The spelling of 221302146 in words is "two hundred twenty-one million, three hundred two thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 1213 2339 2426 3639 4678 7017 7278 14034 15769 30407 31538 47307 60814 91221 94614 182442 2837207 5674414 8511621 17023242 36883691 73767382 110651073 221302146