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212319450 = 23252729629
BaseRepresentation
bin11001010011110…
…11110011011010
3112210111221112100
430221323303122
5413323210300
633022424230
75155454100
oct1451736332
9483457470
10212319450
11a9937822
125b132076
1334cab815
14202abc70
151398e700
hexca7bcda

212319450 has 108 divisors (see below), whose sum is σ = 663632190. Its totient is φ = 48525120.

The previous prime is 212319427. The next prime is 212319461. The reversal of 212319450 is 54913212.

It can be written as a sum of positive squares in 3 ways, for example, as 204518601 + 7800849 = 14301^2 + 2793^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 17236 + ... + 26864.

Almost surely, 2212319450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212319450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331816095).

212319450 is an abundant number, since it is smaller than the sum of its proper divisors (451312740).

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

212319450 is a wasteful number, since it uses less digits than its factorization.

212319450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9661 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 212319450 is about 14571.1856072181. The cubic root of 212319450 is about 596.5725414951.

The spelling of 212319450 in words is "two hundred twelve million, three hundred nineteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 882 1050 1225 1470 1575 2205 2450 3150 3675 4410 7350 9629 11025 19258 22050 28887 48145 57774 67403 86661 96290 134806 144435 173322 202209 240725 288870 337015 404418 433305 471821 481450 606627 674030 722175 866610 943642 1011045 1213254 1415463 1444350 1685075 2022090 2166525 2359105 2830926 3033135 3370150 4246389 4333050 4718210 5055225 6066270 7077315 8492778 10110450 11795525 14154630 15165675 21231945 23591050 30331350 35386575 42463890 70773150 106159725 212319450