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212678424 = 233272232621
BaseRepresentation
bin11001010110100…
…11011100011000
3112211012011221200
430223103130120
5413421202144
633034234200
75161510500
oct1453233430
9484164850
10212678424
11aa0624a2
125b285960
13350a602a
1420362a00
1513a10c69
hexcad3718

212678424 has 144 divisors (see below), whose sum is σ = 699444720. Its totient is φ = 58101120.

The previous prime is 212678413. The next prime is 212678437. The reversal of 212678424 is 424876212.

212678424 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 2×2126784242 = 90464224070247552, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79834 + ... + 82454.

It is an arithmetic number, because the mean of its divisors is an integer number (4857255).

Almost surely, 2212678424 is an apocalyptic number.

212678424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212678424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349722360).

212678424 is an abundant number, since it is smaller than the sum of its proper divisors (486766296).

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

212678424 is a wasteful number, since it uses less digits than its factorization.

212678424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2656 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 212678424 is about 14583.4983457331. The cubic root of 212678424 is about 596.9085657467.

The spelling of 212678424 in words is "two hundred twelve million, six hundred seventy-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 644 828 882 966 1127 1176 1288 1449 1656 1764 1932 2254 2621 2898 3381 3528 3864 4508 5242 5796 6762 7863 9016 10143 10484 11592 13524 15726 18347 20286 20968 23589 27048 31452 36694 40572 47178 55041 60283 62904 73388 81144 94356 110082 120566 128429 146776 165123 180849 188712 220164 241132 256858 330246 361698 385287 421981 440328 482264 513716 542547 660492 723396 770574 843962 1027432 1085094 1155861 1265943 1320984 1446792 1541148 1687924 2170188 2311722 2531886 2953867 3082296 3375848 3797829 4340376 4623444 5063772 5907734 7595658 8861601 9246888 10127544 11815468 15191316 17723202 23630936 26584803 30382632 35446404 53169606 70892808 106339212 212678424