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223212121332 = 22337502730003
BaseRepresentation
bin1100111111100001111…
…0101010110011110100
3210100011000222121211220
43033320132222303310
512124114300340312
6250313042230340
722061255504064
oct3177036526364
9710130877756
10223212121332
1186733472552
12373153553b0
131808331a905
14ab36c293a4
155c161d4c8c
hex33f87aacf4

223212121332 has 24 divisors (see below), whose sum is σ = 534904724256. Its totient is φ = 72393120288.

The previous prime is 223212121273. The next prime is 223212121351. The reversal of 223212121332 is 233121212322.

223212121332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232121213323 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251364558 + ... + 251365445.

It is an arithmetic number, because the mean of its divisors is an integer number (22287696844).

Almost surely, 2223212121332 is an apocalyptic number.

It is an amenable number.

223212121332 is an abundant number, since it is smaller than the sum of its proper divisors (311692602924).

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

223212121332 is a wasteful number, since it uses less digits than its factorization.

223212121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502730047 (or 502730045 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 223212121332 its reverse (233121212322), we get a palindrome (456333333654).

The spelling of 223212121332 in words is "two hundred twenty-three billion, two hundred twelve million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 502730003 1005460006 1508190009 2010920012 3016380018 6032760036 18601010111 37202020222 55803030333 74404040444 111606060666 223212121332