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212683332 = 223294361233
BaseRepresentation
bin11001010110101…
…00101001000100
3112211012102200110
430223110221010
5413421331312
633034313020
75161531011
oct1453245104
9484172613
10212683332
11aa066154
125b288770
13350a8334
1420364708
1513a1243c
hexcad4a44

212683332 has 96 divisors (see below), whose sum is σ = 536215680. Its totient is φ = 65479680.

The previous prime is 212683327. The next prime is 212683399. The reversal of 212683332 is 233386212.

It is a self number, because there is not a number n which added to its sum of digits gives 212683332.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912688 + ... + 912920.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2212683332 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 212683332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

212683332 is an abundant number, since it is smaller than the sum of its proper divisors (323532348).

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

212683332 is a wasteful number, since it uses less digits than its factorization.

212683332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 212683332 is about 14583.6666171440. Note that the first 4 decimals coincide. The cubic root of 212683332 is about 596.9131573497.

It can be divided in two parts, 2126 and 83332, that added together give a palindrome (85458).

The spelling of 212683332 in words is "two hundred twelve million, six hundred eighty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 43 58 61 86 87 116 122 129 172 174 183 233 244 258 348 366 466 516 699 732 932 1247 1398 1769 2494 2623 2796 3538 3741 4988 5246 5307 6757 7076 7482 7869 10019 10492 10614 13514 14213 14964 15738 20038 20271 21228 27028 28426 30057 31476 40076 40542 42639 56852 60114 76067 81084 85278 120228 152134 170556 228201 290551 304268 412177 456402 581102 611159 824354 871653 912804 1162204 1222318 1236531 1648708 1743306 1833477 2444636 2473062 3486612 3666954 4946124 7333908 17723611 35447222 53170833 70894444 106341666 212683332