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223212000212322 = 2311279249263667
BaseRepresentation
bin110010110000001010010111…
…111110110111010101100010
31002021022212012002011110202220
4302300022113332313111202
5213224101134023243242
62110422102143251510
765005351306560342
oct6260122776672542
91067285162143686
10223212000212322
116513874aaa4400
122104bb932a9b96
139771a555cc014
143d197388d0d22
151ac13ca3a1bec
hexcb0297fb7562

223212000212322 has 72 divisors (see below), whose sum is σ = 496987450103088. Its totient is φ = 66783796176240.

The previous prime is 223212000212303. The next prime is 223212000212329.

223212000212322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2232120002123223 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223212000212292 and 223212000212301.

It is not an unprimeable number, because it can be changed into a prime (223212000212329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20100868 + ... + 29162799.

It is an arithmetic number, because the mean of its divisors is an integer number (6902603473654).

Almost surely, 2223212000212322 is an apocalyptic number.

223212000212322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

223212000212322 is an abundant number, since it is smaller than the sum of its proper divisors (273775449890766).

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

223212000212322 is a wasteful number, since it uses less digits than its factorization.

223212000212322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49263852 (or 49263762 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 223212000 and 212322, that added together give a palindrome (223424322).

The spelling of 223212000212322 in words is "two hundred twenty-three trillion, two hundred twelve billion, two hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 79 121 158 237 242 363 474 726 869 1738 2607 5214 6241 9559 12482 18723 19118 28677 37446 57354 68651 137302 205953 411906 755161 1510322 2265483 4530966 49263667 98527334 147791001 295582002 541900337 1083800674 1625701011 3251402022 3891829693 5960903707 7783659386 11675489079 11921807414 17882711121 23350978158 35765422242 42810126623 85620253246 128430379869 256860759738 307454545747 470911392853 614909091494 922363637241 941822785706 1412734178559 1844727274482 2825468357118 3382000003217 6764000006434 10146000009651 20292000019302 37202000035387 74404000070774 111606000106161 223212000212322