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212234223432 = 233711313704689
BaseRepresentation
bin1100010110101000100…
…1010011111101001000
3202021210222010121222210
43011222021103331020
511434123430122212
6241255443545120
721222235063620
oct3055211237510
9667728117883
10212234223432
118200a760360
123517098b1a0
1317023b6143a
14a3b4c6d880
1557c255e53c
hex316a253f48

212234223432 has 128 divisors (see below), whose sum is σ = 682848460800. Its totient is φ = 53347507200.

The previous prime is 212234223427. The next prime is 212234223433. The reversal of 212234223432 is 234322432212.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212234223432.

It is not an unprimeable number, because it can be changed into a prime (212234223433) 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, 1795057 + ... + 1909632.

It is an arithmetic number, because the mean of its divisors is an integer number (5334753600).

Almost surely, 2212234223432 is an apocalyptic number.

212234223432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212234223432 is an abundant number, since it is smaller than the sum of its proper divisors (470614237368).

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

212234223432 is a wasteful number, since it uses less digits than its factorization.

212234223432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704747 (or 3704743 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 212234223432 its reverse (234322432212), we get a palindrome (446556655644).

The spelling of 212234223432 in words is "two hundred twelve billion, two hundred thirty-four million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 56 62 66 77 84 88 93 124 132 154 168 186 217 231 248 264 308 341 372 434 462 616 651 682 744 868 924 1023 1302 1364 1736 1848 2046 2387 2604 2728 4092 4774 5208 7161 8184 9548 14322 19096 28644 57288 3704689 7409378 11114067 14818756 22228134 25932823 29637512 40751579 44456268 51865646 77798469 81503158 88912536 103731292 114845359 122254737 155596938 163006316 207462584 229690718 244509474 285261053 311193876 326012632 344536077 459381436 489018948 570522106 622387752 689072154 803917513 855783159 918762872 978037896 1141044212 1263298949 1378144308 1607835026 1711566318 2282088424 2411752539 2526597898 2756288616 3215670052 3423132636 3789896847 4823505078 5053195796 6431340104 6846265272 7579793694 8843092643 9647010156 10106391592 15159587388 17686185286 19294020312 26529277929 30319174776 35372370572 53058555858 70744741144 106117111716 212234223432