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212030210232 = 233297131923017
BaseRepresentation
bin1100010101110111111…
…1000100000010111000
3202021021202020200111100
43011131333010002320
511433214213211412
6241223315131400
721214210023141
oct3053577040270
9667252220440
10212030210232
1181a15587205
12351145a3b60
1316cc0800579
14a395b24ac8
1557ae6b0edc
hex315dfc40b8

212030210232 has 96 divisors (see below), whose sum is σ = 580633653600. Its totient is φ = 69892042752.

The previous prime is 212030210207. The next prime is 212030210261. The reversal of 212030210232 is 232012030212.

212030210232 is a `hidden beast` number, since 2 + 120 + 302 + 10 + 232 = 666.

212030210232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120302102322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 9200388 + ... + 9223404.

It is an arithmetic number, because the mean of its divisors is an integer number (6048267225).

Almost surely, 2212030210232 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 212030210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290316826800).

212030210232 is an abundant number, since it is smaller than the sum of its proper divisors (368603443368).

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

212030210232 is a wasteful number, since it uses less digits than its factorization.

212030210232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24445 (or 24438 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212030210232 its reverse (232012030212), we get a palindrome (444042240444).

The spelling of 212030210232 in words is "two hundred twelve billion, thirty million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1319 1746 2328 2638 3492 3957 5276 6984 7914 10552 11871 15828 23017 23742 31656 46034 47484 69051 92068 94968 127943 138102 184136 207153 255886 276204 383829 414306 511772 552408 767658 828612 1023544 1151487 1535316 1657224 2232649 2302974 3070632 4465298 4605948 6697947 8930596 9211896 13395894 17861192 20093841 26791788 30359423 40187682 53583576 60718846 80375364 91078269 121437692 160750728 182156538 242875384 273234807 364313076 546469614 728626152 1092939228 2185878456 2944864031 5889728062 8834592093 11779456124 17669184186 23558912248 26503776279 35338368372 53007552558 70676736744 106015105116 212030210232