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223204212144441 = 321113691164676649
BaseRepresentation
bin110010110000000011000111…
…110001101111100100111001
31002021022010002022112122002100
4302300003013301233210321
5213223434211302110231
62110414333254054013
765004654311232153
oct6260030761574471
91067263068478070
10223204212144441
1165135413919770
122104a57b04a309
1397710b3c60328
143d191da433ad3
151ac10c17bb1e6
hexcb00c7c6f939

223204212144441 has 24 divisors (see below), whose sum is σ = 351741419920800. Its totient is φ = 135265398667200.

The previous prime is 223204212144409. The next prime is 223204212144467. The reversal of 223204212144441 is 144441212402322.

223204212144441 is a `hidden beast` number, since 2 + 2 + 3 + 20 + 42 + 12 + 144 + 441 = 666.

223204212144441 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 223204212144441 - 25 = 223204212144409 is a prime.

It is a super-3 number, since 3×2232042121444413 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223204212144396 and 223204212144405.

It is not an unprimeable number, because it can be changed into a prime (223204212144541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80982916 + ... + 83693733.

It is an arithmetic number, because the mean of its divisors is an integer number (14655892496700).

Almost surely, 2223204212144441 is an apocalyptic number.

It is an amenable number.

223204212144441 is a deficient number, since it is larger than the sum of its proper divisors (128537207776359).

223204212144441 is a wasteful number, since it uses less digits than its factorization.

223204212144441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164690357 (or 164690354 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 223204212144441 its reverse (144441212402322), we get a palindrome (367645424546763).

The spelling of 223204212144441 in words is "two hundred twenty-three trillion, two hundred four billion, two hundred twelve million, one hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 13691 41073 123219 150601 451803 1355409 164676649 494029947 1482089841 1811443139 5434329417 16302988251 2254588001459 6763764004377 20291292013131 24800468016049 74401404048147 223204212144441