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212330320 = 24519163857
BaseRepresentation
bin11001010011111…
…10011101010000
3112210112111102221
430221332131100
5413324032240
633022550424
75155530556
oct1451763520
9483474387
10212330320
11a9944a04
125b138414
1334cb3757
14202b1bd6
1513992a4a
hexca7e750

212330320 has 80 divisors (see below), whose sum is σ = 523448640. Its totient is φ = 79875072.

The previous prime is 212330317. The next prime is 212330353. The reversal of 212330320 is 23033212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212330294 and 212330303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247332 + ... + 248188.

It is an arithmetic number, because the mean of its divisors is an integer number (6543108).

Almost surely, 2212330320 is an apocalyptic number.

212330320 is a gapful number since it is divisible by the number (20) 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 212330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261724320).

212330320 is an abundant number, since it is smaller than the sum of its proper divisors (311118320).

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

212330320 is a wasteful number, since it uses less digits than its factorization.

212330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 212330320 is about 14571.5585988596. The cubic root of 212330320 is about 596.5827221182.

Adding to 212330320 its reverse (23033212), we get a palindrome (235363532).

The spelling of 212330320 in words is "two hundred twelve million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 163 190 304 326 380 652 760 815 857 1304 1520 1630 1714 2608 3097 3260 3428 4285 6194 6520 6856 8570 12388 13040 13712 15485 16283 17140 24776 30970 32566 34280 49552 61940 65132 68560 81415 123880 130264 139691 162830 247760 260528 279382 325660 558764 651320 698455 1117528 1302640 1396910 2235056 2654129 2793820 5308258 5587640 10616516 11175280 13270645 21233032 26541290 42466064 53082580 106165160 212330320