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221323000033332 = 2232231132365471763
BaseRepresentation
bin110010010100101011000110…
…110011000011000000110100
31002000122021100102001202202200
4302110223012303003000310
5213002124001002031312
62102414214345504500
764422026156146641
oct6224530663030064
91060567312052680
10221323000033332
116457a614704a8a
12209a5a68aa2130
13966589173b412
143c92139d26dc8
151a8c1bc1650dc
hexc94ac6cc3034

221323000033332 has 72 divisors (see below), whose sum is σ = 588945697913664. Its totient is φ = 69942269058816.

The previous prime is 221323000033259. The next prime is 221323000033361. The reversal of 221323000033332 is 233330000323122.

221323000033332 is a `hidden beast` number, since 2 + 2 + 1 + 323 + 0 + 0 + 0 + 0 + 3 + 3 + 332 = 666.

It is a super-2 number, since 2×2213230000333322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221323000033296 and 221323000033305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182642318 + ... + 1182829445.

It is an arithmetic number, because the mean of its divisors is an integer number (8179801359912).

Almost surely, 2221323000033332 is an apocalyptic number.

It is an amenable number.

221323000033332 is an abundant number, since it is smaller than the sum of its proper divisors (367622697880332).

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

221323000033332 is a wasteful number, since it uses less digits than its factorization.

221323000033332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365471909 (or 2365471904 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 221323000033332 its reverse (233330000323122), we get a palindrome (454653000356454).

The spelling of 221323000033332 in words is "two hundred twenty-one trillion, three hundred twenty-three billion, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 113 138 207 226 276 339 414 452 678 828 1017 1356 2034 2599 4068 5198 7797 10396 15594 23391 31188 46782 93564 2365471763 4730943526 7096415289 9461887052 14192830578 21289245867 28385661156 42578491734 54405850549 85156983468 108811701098 163217551647 217623402196 267298309219 326435103294 489652654941 534596618438 652870206588 801894927657 979305309882 1069193236876 1603789855314 1958610619764 2405684782971 3207579710628 4811369565942 6147861112037 9622739131884 12295722224074 18443583336111 24591444448148 36887166672222 55330750008333 73774333344444 110661500016666 221323000033332