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212330640 = 24352413671
BaseRepresentation
bin11001010011111…
…10100010010000
3112210112111212210
430221332202100
5413324040030
633022552120
75155531524
oct1451764220
9483474783
10212330640
11a9945175
125b138640
1334cb3942
14202b1d84
1513992bb0
hexca7e890

212330640 has 80 divisors (see below), whose sum is σ = 661136256. Its totient is φ = 56371200.

The previous prime is 212330639. The next prime is 212330659. The reversal of 212330640 is 46033212.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56005 + ... + 59675.

Almost surely, 2212330640 is an apocalyptic number.

212330640 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 212330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330568128).

212330640 is an abundant number, since it is smaller than the sum of its proper divisors (448805616).

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

212330640 is a wasteful number, since it uses less digits than its factorization.

212330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 212330640 is about 14571.5695791497. The cubic root of 212330640 is about 596.5830218185.

Adding to 212330640 its reverse (46033212), we get a palindrome (258363852).

The spelling of 212330640 in words is "two hundred twelve million, three hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241 482 723 964 1205 1446 1928 2410 2892 3615 3671 3856 4820 5784 7230 7342 9640 11013 11568 14460 14684 18355 19280 22026 28920 29368 36710 44052 55065 57840 58736 73420 88104 110130 146840 176208 220260 293680 440520 881040 884711 1769422 2654133 3538844 4423555 5308266 7077688 8847110 10616532 13270665 14155376 17694220 21233064 26541330 35388440 42466128 53082660 70776880 106165320 212330640