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202213413 = 321011491493
BaseRepresentation
bin11000000110110…
…00100000100101
3112002111111122200
430003120200211
5403231312123
632022045113
75003533323
oct1403304045
9462444580
10202213413
11a4164a26
1257879799
1332b8090c
141cbdad13
1512b45143
hexc0d8825

202213413 has 24 divisors (see below), whose sum is σ = 297156600. Its totient is φ = 132489600.

The previous prime is 202213393. The next prime is 202213439. The reversal of 202213413 is 314312202.

It can be written as a sum of positive squares in 4 ways, for example, as 79602084 + 122611329 = 8922^2 + 11073^2 .

It is not a de Polignac number, because 202213413 - 212 = 202209317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202213013) 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, 134695 + ... + 136187.

It is an arithmetic number, because the mean of its divisors is an integer number (12381525).

Almost surely, 2202213413 is an apocalyptic number.

It is an amenable number.

202213413 is a deficient number, since it is larger than the sum of its proper divisors (94943187).

202213413 is a wasteful number, since it uses less digits than its factorization.

202213413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 202213413 is about 14220.1762647303. The cubic root of 202213413 is about 586.9529906526.

Adding to 202213413 its reverse (314312202), we get a palindrome (516525615).

The spelling of 202213413 in words is "two hundred two million, two hundred thirteen thousand, four hundred thirteen".

Divisors: 1 3 9 101 149 303 447 909 1341 1493 4479 13437 15049 45147 135441 150793 222457 452379 667371 1357137 2002113 22468157 67404471 202213413