Search a number
-
+
212108688 = 243211359373
BaseRepresentation
bin11001010010010…
…00010110010000
3112210010020102100
430221020112100
5413244434223
633014120400
75153615451
oct1451102620
9483106370
10212108688
11a9803440
125b050100
1334c368cc
1420255128
151394c043
hexca48590

212108688 has 120 divisors (see below), whose sum is σ = 651119040. Its totient is φ = 63924480.

The previous prime is 212108681. The next prime is 212108707. The reversal of 212108688 is 886801212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212108681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568470 + ... + 568842.

It is an arithmetic number, because the mean of its divisors is an integer number (5425992).

Almost surely, 2212108688 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 212108688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325559520).

212108688 is an abundant number, since it is smaller than the sum of its proper divisors (439010352).

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

212108688 is a wasteful number, since it uses less digits than its factorization.

212108688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 212108688 is about 14563.9516615512. The cubic root of 212108688 is about 596.3750773295.

It can be divided in two parts, 212 and 108688, that added together give a square (108900 = 3302).

The spelling of 212108688 in words is "two hundred twelve million, one hundred eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 359 373 396 528 718 746 792 1077 1119 1436 1492 1584 2154 2238 2872 2984 3231 3357 3949 4103 4308 4476 5744 5968 6462 6714 7898 8206 8616 8952 11847 12309 12924 13428 15796 16412 17232 17904 23694 24618 25848 26856 31592 32824 35541 36927 47388 49236 51696 53712 63184 65648 71082 73854 94776 98472 133907 142164 147708 189552 196944 267814 284328 295416 401721 535628 568656 590832 803442 1071256 1205163 1472977 1606884 2142512 2410326 2945954 3213768 4418931 4820652 5891908 6427536 8837862 9641304 11783816 13256793 17675724 19282608 23567632 26513586 35351448 53027172 70702896 106054344 212108688