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212071132 = 227132373347
BaseRepresentation
bin11001010001111…
…11001011011100
3112210001022220101
430220333023130
5413242234012
633013230444
75153401120
oct1450771334
9483038811
10212071132
11a97881a9
125b032424
1334c227a0
1420245580
1513940d57
hexca3f2dc

212071132 has 96 divisors (see below), whose sum is σ = 484549632. Its totient is φ = 78921216.

The previous prime is 212071127. The next prime is 212071133. The reversal of 212071132 is 231170212.

212071132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120711322 = 89948330055522848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212071133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610983 + ... + 611329.

It is an arithmetic number, because the mean of its divisors is an integer number (5047392).

Almost surely, 2212071132 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 212071132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242274816).

212071132 is an abundant number, since it is smaller than the sum of its proper divisors (272478500).

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

212071132 is a wasteful number, since it uses less digits than its factorization.

212071132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 212071132 is about 14562.6622566068. The cubic root of 212071132 is about 596.3398771614.

The spelling of 212071132 in words is "two hundred twelve million, seventy-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 73 91 92 146 161 182 292 299 322 347 364 511 598 644 694 949 1022 1196 1388 1679 1898 2044 2093 2429 3358 3796 4186 4511 4858 6643 6716 7981 8372 9022 9716 11753 13286 15962 18044 21827 23506 25331 26572 31577 31924 43654 47012 50662 55867 63154 87308 101324 103753 111734 126308 152789 177317 207506 223468 305578 329303 354634 415012 582613 611156 658606 709268 726271 1165226 1317212 1452542 2305121 2330452 2905084 4078291 4610242 7573969 8156582 9220484 15147938 16313164 30295876 53017783 106035566 212071132