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221334333132 = 223111988251329
BaseRepresentation
bin1100111000100010001…
…1011110011011001100
3210011022011121002200210
43032020203132123030
512111243042130012
6245402442522420
721663604534653
oct3161043363314
9704264532623
10221334333132
118595a508480
1236a90506410
1317b44293133
14a9d96a419a
155b5641323c
hex33888de6cc

221334333132 has 48 divisors (see below), whose sum is σ = 593048937600. Its totient is φ = 63540956160.

The previous prime is 221334333119. The next prime is 221334333149. The reversal of 221334333132 is 231333433122.

221334333132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221334333132.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44123157 + ... + 44128172.

It is an arithmetic number, because the mean of its divisors is an integer number (12355186200).

Almost surely, 2221334333132 is an apocalyptic number.

221334333132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221334333132 is an abundant number, since it is smaller than the sum of its proper divisors (371714604468).

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

221334333132 is a wasteful number, since it uses less digits than its factorization.

221334333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88251366 (or 88251364 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

Adding to 221334333132 its reverse (231333433122), we get a palindrome (452667766254).

The spelling of 221334333132 in words is "two hundred twenty-one billion, three hundred thirty-four million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 88251329 176502658 264753987 353005316 529507974 970764619 1059015948 1676775251 1941529238 2912293857 3353550502 3883058476 5030325753 5824587714 6707101004 10060651506 11649175428 18444527761 20121303012 36889055522 55333583283 73778111044 110667166566 221334333132