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212023224 = 23337140227
BaseRepresentation
bin11001010001100…
…11011110111000
3112202221220012000
430220303132320
5413234220344
633012221000
75153111340
oct1450633670
9482856160
10212023224
11a9755206
125b00a760
1334c06a3a
1420231d20
1513931a69
hexca337b8

212023224 has 64 divisors (see below), whose sum is σ = 673094400. Its totient is φ = 60577632.

The previous prime is 212023199. The next prime is 212023241. The reversal of 212023224 is 422320212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212023197 and 212023206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68602 + ... + 71625.

It is an arithmetic number, because the mean of its divisors is an integer number (10517100).

Almost surely, 2212023224 is an apocalyptic number.

212023224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212023224 is an abundant number, since it is smaller than the sum of its proper divisors (461071176).

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

212023224 is a wasteful number, since it uses less digits than its factorization.

212023224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140249 (or 140239 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212023224 is about 14561.0172721551. The cubic root of 212023224 is about 596.2949683264.

Adding to 212023224 its reverse (422320212), we get a palindrome (634343436).

The spelling of 212023224 in words is "two hundred twelve million, twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 140227 280454 420681 560908 841362 981589 1121816 1262043 1682724 1963178 2524086 2944767 3365448 3786129 3926356 5048172 5889534 7572258 7852712 8834301 10096344 11779068 15144516 17668602 23558136 26502903 30289032 35337204 53005806 70674408 106011612 212023224