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212233200132 = 2231937143917483
BaseRepresentation
bin1100010110101000010…
…1011010001000000100
3202021210220012122021210
43011222011122020010
511434123144401012
6241255410011420
721222223302342
oct3055205321004
9667726178253
10212233200132
118200a121558
1235170576b70
1317023893735
14a3b4a84992
1557c240b23c
hex316a15a204

212233200132 has 96 divisors (see below), whose sum is σ = 535765708800. Its totient is φ = 65160588672.

The previous prime is 212233200083. The next prime is 212233200139. The reversal of 212233200132 is 231002332212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212233200099 and 212233200108.

It is not an unprimeable number, because it can be changed into a prime (212233200139) 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, 12130663 + ... + 12148145.

It is an arithmetic number, because the mean of its divisors is an integer number (5580892800).

Almost surely, 2212233200132 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 212233200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267882854400).

212233200132 is an abundant number, since it is smaller than the sum of its proper divisors (323532508668).

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

212233200132 is a wasteful number, since it uses less digits than its factorization.

212233200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18985 (or 18983 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212233200132 its reverse (231002332212), we get a palindrome (443235532344).

The spelling of 212233200132 in words is "two hundred twelve billion, two hundred thirty-three million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1406 1439 2109 2812 2878 4218 4317 5756 8436 8634 17268 17483 27341 34966 52449 53243 54682 69932 82023 104898 106486 109364 159729 164046 209796 212972 319458 328092 332177 638916 646871 664354 996531 1011617 1293742 1328708 1940613 1993062 2023234 2587484 3034851 3881226 3986124 4046468 6069702 7762452 12139404 12290549 24581098 25158037 36871647 49162196 50316074 73743294 75474111 100632148 147486588 150948222 301896444 478002703 930847369 956005406 1434008109 1861694738 1912010812 2792542107 2868016218 3723389476 5585084214 5736032436 11170168428 17686100011 35372200022 53058300033 70744400044 106116600066 212233200132