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214232312 = 2373101773
BaseRepresentation
bin11001100010011…
…10110011111000
3112221010010111002
430301032303320
5414320413222
633131424132
75210642000
oct1461166370
9487103432
10214232312
11aaa239a8
125b8b5048
13354cb3a8
1420649000
1513c1b392
hexcc4ecf8

214232312 has 64 divisors (see below), whose sum is σ = 473688000. Its totient is φ = 90787200.

The previous prime is 214232303. The next prime is 214232323. The reversal of 214232312 is 213232412.

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, 276758 + ... + 277530.

It is an arithmetic number, because the mean of its divisors is an integer number (7401375).

Almost surely, 2214232312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214232312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236844000).

214232312 is an abundant number, since it is smaller than the sum of its proper divisors (259455688).

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

214232312 is a wasteful number, since it uses less digits than its factorization.

214232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 883 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 214232312 is about 14636.6769452632. The cubic root of 214232312 is about 598.3587665331.

Adding to 214232312 its reverse (213232412), we get a palindrome (427464724).

The spelling of 214232312 in words is "two hundred fourteen million, two hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 343 392 404 686 707 773 808 1372 1414 1546 2744 2828 3092 4949 5411 5656 6184 9898 10822 19796 21644 34643 37877 39592 43288 69286 75754 78073 138572 151508 156146 265139 277144 303016 312292 530278 546511 624584 1060556 1093022 2121112 2186044 3825577 4372088 7651154 15302308 26779039 30604616 53558078 107116156 214232312