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212303264240 = 2452797948799
BaseRepresentation
bin1100010110111001000…
…0101011100111110000
3202021222210001021011202
43011232100223213300
511434244113423430
6241310351430332
721224033654024
oct3055620534760
9667883037152
10212303264240
1182045726781
123518bb253a8
13170352554a2
14a3c00c2384
1557c864ad45
hex316e42b9f0

212303264240 has 40 divisors (see below), whose sum is σ = 493782086400. Its totient is φ = 84890854656.

The previous prime is 212303264227. The next prime is 212303264267. The reversal of 212303264240 is 42462303212.

It is a happy number.

212303264240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2123032642403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250640 + ... + 698159.

It is an arithmetic number, because the mean of its divisors is an integer number (12344552160).

Almost surely, 2212303264240 is an apocalyptic number.

212303264240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212303264240 is an abundant number, since it is smaller than the sum of its proper divisors (281478822160).

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

212303264240 is a wasteful number, since it uses less digits than its factorization.

212303264240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951609 (or 951603 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 212303264240 its reverse (42462303212), we get a palindrome (254765567452).

The spelling of 212303264240 in words is "two hundred twelve billion, three hundred three million, two hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2797 5594 11188 13985 22376 27970 44752 55940 111880 223760 948799 1897598 3795196 4743995 7590392 9487990 15180784 18975980 37951960 75903920 2653790803 5307581606 10615163212 13268954015 21230326424 26537908030 42460652848 53075816060 106151632120 212303264240