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202424224213 = 2137929310193
BaseRepresentation
bin1011110010000101101…
…1001000100111010101
3201100111021220000221101
42330201123020213111
511304031100133323
6232554205350101
720424155342041
oct2744133104725
9640437800841
10202424224213
1178936219792
1233293568331
131611c639b83
149b24049021
1553eb1d2dad
hex2f216c89d5

202424224213 has 8 divisors (see below), whose sum is σ = 202560610968. Its totient is φ = 202287880704.

The previous prime is 202424224207. The next prime is 202424224229. The reversal of 202424224213 is 312422424202.

It is a happy number.

202424224213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 232806564 + 202191417649 = 15258^2 + 449657^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 202424224213 - 237 = 64985270741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202424221213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19854045 + ... + 19864237.

It is an arithmetic number, because the mean of its divisors is an integer number (25320076371).

Almost surely, 2202424224213 is an apocalyptic number.

It is an amenable number.

202424224213 is a deficient number, since it is larger than the sum of its proper divisors (136386755).

202424224213 is a wasteful number, since it uses less digits than its factorization.

202424224213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21623.

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 202424224213 its reverse (312422424202), we get a palindrome (514846648415).

The spelling of 202424224213 in words is "two hundred two billion, four hundred twenty-four million, two hundred twenty-four thousand, two hundred thirteen".

Divisors: 1 2137 9293 10193 19859141 21782441 94723549 202424224213