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223201213220232 = 233213238462834637
BaseRepresentation
bin110010110000000000010101…
…000001110000010110001000
31002021021211100022112111110100
4302300000111001300112020
5213223412041041021412
62110413115524445400
765004520064626662
oct6260002501602610
91067254308474410
10223201213220232
1165134115023605
1221049a82849860
139770a26864670
143d18dd402b532
151ac0e9838aedc
hexcb0015070588

223201213220232 has 48 divisors (see below), whose sum is σ = 651003538561740. Its totient is φ = 68677296375168.

The previous prime is 223201213220213. The next prime is 223201213220257. The reversal of 223201213220232 is 232022312102322.

223201213220232 is a `hidden beast` number, since 2 + 2 + 3 + 201 + 2 + 1 + 3 + 220 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164174660320356 + 59026552899876 = 12813066^2 + 7682874^2 .

It is a super-3 number, since 3×2232012132202323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223201213220196 and 223201213220205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119231416383 + ... + 119231418254.

Almost surely, 2223201213220232 is an apocalyptic number.

It is an amenable number.

223201213220232 is an abundant number, since it is smaller than the sum of its proper divisors (427802325341508).

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

223201213220232 is a wasteful number, since it uses less digits than its factorization.

223201213220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238462834662 (or 238462834655 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 223201213220232 its reverse (232022312102322), we get a palindrome (455223525322554).

The spelling of 223201213220232 in words is "two hundred twenty-three trillion, two hundred one billion, two hundred thirteen million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 238462834637 476925669274 715388503911 953851338548 1430777007822 1907702677096 2146165511733 2861554015644 3100016850281 4292331023466 5723108031288 6200033700562 8584662046932 9300050550843 12400067401124 17169324093864 18600101101686 24800134802248 27900151652529 37200202203372 55800303305058 74400404406744 111600606610116 223201213220232