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230211212 = 227211217571
BaseRepresentation
bin11011011100010…
…11111010001100
3121001011221102012
431232023322030
5432413224322
634502120352
75463522500
oct1556137214
9531157365
10230211212
11108a48100
12651200b8
133890446a
1422808300
1515325ae2
hexdb8be8c

230211212 has 108 divisors (see below), whose sum is σ = 546377832. Its totient is φ = 84268800.

The previous prime is 230211211. The next prime is 230211221. The reversal of 230211212 is 212112032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (230211211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402887 + ... + 403457.

It is an arithmetic number, because the mean of its divisors is an integer number (5059054).

Almost surely, 2230211212 is an apocalyptic number.

230211212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273188916).

230211212 is an abundant number, since it is smaller than the sum of its proper divisors (316166620).

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

230211212 is a wasteful number, since it uses less digits than its factorization.

230211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 230211212 is about 15172.7127436065. The cubic root of 230211212 is about 612.8800580017.

Adding to 230211212 its reverse (212112032), we get a palindrome (442323244).

The spelling of 230211212 in words is "two hundred thirty million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 121 154 187 196 238 242 308 374 476 484 539 571 748 833 847 1078 1142 1309 1666 1694 2057 2156 2284 2618 3332 3388 3997 4114 5236 5929 6281 7994 8228 9163 9707 11858 12562 14399 15988 18326 19414 23716 25124 27979 28798 36652 38828 43967 55958 57596 67949 69091 87934 100793 106777 111916 135898 138182 175868 201586 213554 271796 276364 307769 403172 427108 475643 483637 615538 747439 951286 967274 1174547 1231076 1494878 1902572 1934548 2349094 2989756 3385459 4698188 5232073 6770918 8221829 10464146 13541836 16443658 20928292 32887316 57552803 115105606 230211212