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220022531331 = 31729239962011
BaseRepresentation
bin1100110011101001011…
…1010110010100000011
3210000220202012122220220
43030322113112110003
512101101232000311
6245024342234123
721616235441631
oct3147227262403
9700822178826
10220022531331
1185346a8a359
1236785125943
1317995585455
14a913390351
155acb191206
hex333a5d6503

220022531331 has 32 divisors (see below), whose sum is σ = 321470208000. Its totient is φ = 133235182080.

The previous prime is 220022531303. The next prime is 220022531347. The reversal of 220022531331 is 133135220022.

It is a happy number.

220022531331 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 220022531331 - 213 = 220022523139 is a prime.

It is a super-2 number, since 2×2200225313312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220022533331) 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 31 ways as a sum of consecutive naturals, for example, 3517116 + ... + 3579126.

It is an arithmetic number, because the mean of its divisors is an integer number (10045944000).

Almost surely, 2220022531331 is an apocalyptic number.

220022531331 is a deficient number, since it is larger than the sum of its proper divisors (101447676669).

220022531331 is a wasteful number, since it uses less digits than its factorization.

220022531331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64459.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 220022531331 its reverse (133135220022), we get a palindrome (353157751353).

The spelling of 220022531331 in words is "two hundred twenty billion, twenty-two million, five hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 17 29 51 87 493 1479 2399 7197 40783 62011 69571 122349 186033 208713 1054187 1182707 1798319 3162561 3548121 5394957 30571423 91714269 148764389 446293167 2528994613 4314167281 7586983839 12942501843 73340843777 220022531331