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221221413 = 32714812371
BaseRepresentation
bin11010010111110…
…01001000100101
3120102021012201200
431023321020211
5423113041123
633541313113
75324231250
oct1513711045
9512235650
10221221413
11103967a16
1262105799
1336aa765a
1421548097
151464c143
hexd2f9225

221221413 has 24 divisors (see below), whose sum is σ = 365591616. Its totient is φ = 126273600.

The previous prime is 221221397. The next prime is 221221421. The reversal of 221221413 is 314122122.

It is a happy number.

221221413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221221413 - 24 = 221221397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221221423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92118 + ... + 94488.

It is an arithmetic number, because the mean of its divisors is an integer number (15232984).

Almost surely, 2221221413 is an apocalyptic number.

It is an amenable number.

221221413 is a deficient number, since it is larger than the sum of its proper divisors (144370203).

221221413 is a wasteful number, since it uses less digits than its factorization.

221221413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3862 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 221221413 is about 14873.5138081087. The cubic root of 221221413 is about 604.7962002811.

Adding to 221221413 its reverse (314122122), we get a palindrome (535343535).

The spelling of 221221413 in words is "two hundred twenty-one million, two hundred twenty-one thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 63 1481 2371 4443 7113 10367 13329 16597 21339 31101 49791 93303 149373 3511451 10534353 24580157 31603059 73740471 221221413