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212233213230 = 235233779105229
BaseRepresentation
bin1100010110101000010…
…1011101010100101110
3202021210220020022020220
43011222011131110232
511434123200310410
6241255410152210
721222223355463
oct3055205352456
9667726208226
10212233213230
118200a130385
1235170582666
131702389969c
14a3b4a8966a
1557c2410070
hex316a15d52e

212233213230 has 128 divisors (see below), whose sum is σ = 552785817600. Its totient is φ = 52004519424.

The previous prime is 212233213229. The next prime is 212233213279. The reversal of 212233213230 is 32312332212.

212233213230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212233213230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1964256 + ... + 2069484.

It is an arithmetic number, because the mean of its divisors is an integer number (4318639200).

Almost surely, 2212233213230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212233213230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276392908800).

212233213230 is an abundant number, since it is smaller than the sum of its proper divisors (340552604370).

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

212233213230 is a wasteful number, since it uses less digits than its factorization.

212233213230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105378.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 212233213230 its reverse (32312332212), we get a palindrome (244545545442).

The spelling of 212233213230 in words is "two hundred twelve billion, two hundred thirty-three million, two hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 79 111 115 138 158 185 222 230 237 345 370 395 474 555 690 790 851 1110 1185 1702 1817 2370 2553 2923 3634 4255 5106 5451 5846 8510 8769 9085 10902 12765 14615 17538 18170 25530 27255 29230 43845 54510 67229 87690 105229 134458 201687 210458 315687 336145 403374 526145 631374 672290 1008435 1052290 1578435 2016870 2420267 3156870 3893473 4840534 7260801 7786946 8313091 11680419 12101335 14521602 16626182 19467365 23360838 24202670 24939273 36304005 38934730 41565455 49878546 58402095 72608010 83130910 89549879 116804190 124696365 179099758 191201093 249392730 268649637 307584367 382402186 447749395 537299274 573603279 615168734 895498790 922753101 956005465 1147206558 1343248185 1537921835 1845506202 1912010930 2686496370 2868016395 3075843670 4613765505 5736032790 7074440441 9227531010 14148880882 21223321323 35372202205 42446642646 70744404410 106116606615 212233213230