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212057340 = 223511229209
BaseRepresentation
bin11001010001110…
…11110011111100
3112210000121222120
430220323303330
5413241313330
633013042540
75153312655
oct1450736374
9483017876
10212057340
11a9778900
125b026450
1334c19421
142024052c
151393bc10
hexca3bcfc

212057340 has 72 divisors (see below), whose sum is σ = 652668240. Its totient is φ = 51406080.

The previous prime is 212057317. The next prime is 212057341. The reversal of 212057340 is 43750212.

It is a self number, because there is not a number n which added to its sum of digits gives 212057340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212057341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7345 + ... + 21864.

Almost surely, 2212057340 is an apocalyptic number.

212057340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212057340 is an abundant number, since it is smaller than the sum of its proper divisors (440610900).

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

212057340 is a wasteful number, since it uses less digits than its factorization.

212057340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29243 (or 29230 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 212057340 is about 14562.1887091192. The cubic root of 212057340 is about 596.3269492697.

The spelling of 212057340 in words is "two hundred twelve million, fifty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 29209 58418 87627 116836 146045 175254 292090 321299 350508 438135 584180 642598 876270 963897 1285196 1606495 1752540 1927794 3212990 3534289 3855588 4819485 6425980 7068578 9638970 10602867 14137156 17671445 19277940 21205734 35342890 42411468 53014335 70685780 106028670 212057340