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221333442 = 23112304867
BaseRepresentation
bin11010011000101…
…00011111000010
3120102110220101220
431030110133002
5423130132232
633543535510
75325206001
oct1514243702
9512426356
10221333442
11103a34100
126215a596
1336b16645
1421576c38
151467042c
hexd3147c2

221333442 has 24 divisors (see below), whose sum is σ = 486569328. Its totient is φ = 67070520.

The previous prime is 221333389. The next prime is 221333449. The reversal of 221333442 is 244333122.

221333442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2213334423 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (221333449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151708 + ... + 153159.

It is an arithmetic number, because the mean of its divisors is an integer number (20273722).

Almost surely, 2221333442 is an apocalyptic number.

221333442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221333442 is an abundant number, since it is smaller than the sum of its proper divisors (265235886).

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

221333442 is a wasteful number, since it uses less digits than its factorization.

221333442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304894 (or 304883 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 221333442 is about 14877.2793883828. The cubic root of 221333442 is about 604.8982749079.

Adding to 221333442 its reverse (244333122), we get a palindrome (465666564).

The spelling of 221333442 in words is "two hundred twenty-one million, three hundred thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 304867 609734 914601 1829202 3353537 6707074 10060611 20121222 36888907 73777814 110666721 221333442