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230212023223 = 71317236470083
BaseRepresentation
bin1101011001100110110…
…1001011001110110111
3211000012212112111001111
43112121231023032313
512232433234220343
6253431414335451
722426603624240
oct3263155131667
9730185474044
10230212023223
11896a575a436
123874965a587
131892a5bacb0
14b1dc75bcc7
155ec59cec9d
hex3599b4b3b7

230212023223 has 32 divisors (see below), whose sum is σ = 313048544256. Its totient is φ = 163977758208.

The previous prime is 230212023163. The next prime is 230212023233. The reversal of 230212023223 is 322320212032.

It is a cyclic number.

It is not a de Polignac number, because 230212023223 - 233 = 221622088631 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230212023194 and 230212023203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230212023233) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3199461 + ... + 3270622.

It is an arithmetic number, because the mean of its divisors is an integer number (9782767008).

Almost surely, 2230212023223 is an apocalyptic number.

230212023223 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

230212023223 is a deficient number, since it is larger than the sum of its proper divisors (82836521033).

230212023223 is a wasteful number, since it uses less digits than its factorization.

230212023223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470143.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 230212023223 its reverse (322320212032), we get a palindrome (552532235255).

The spelling of 230212023223 in words is "two hundred thirty billion, two hundred twelve million, twenty-three thousand, two hundred twenty-three".

Divisors: 1 7 13 17 23 91 119 161 221 299 391 1547 2093 2737 5083 35581 6470083 45290581 84111079 109991411 148811909 588777553 769939877 1041683363 1429888343 1934554817 2529802453 10009218401 13541883719 17708617171 32887431889 230212023223