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212302320 = 2435884593
BaseRepresentation
bin11001010011101…
…11100111110000
3112210111002000220
430221313213300
5413322133240
633022213040
75155353126
oct1451674760
9483432026
10212302320
11a992596a
125b124180
1334ca3a99
14202a5916
15139895d0
hexca779f0

212302320 has 40 divisors (see below), whose sum is σ = 658137936. Its totient is φ = 56613888.

The previous prime is 212302289. The next prime is 212302327. The reversal of 212302320 is 23203212.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212302320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212302327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442057 + ... + 442536.

Almost surely, 2212302320 is an apocalyptic number.

212302320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212302320 is an abundant number, since it is smaller than the sum of its proper divisors (445835616).

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

212302320 is a wasteful number, since it uses less digits than its factorization.

212302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884609 (or 884603 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 212302320 is about 14570.5977914429. The cubic root of 212302320 is about 596.5564971769.

Adding to 212302320 its reverse (23203212), we get a palindrome (235505532).

The spelling of 212302320 in words is "two hundred twelve million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 884593 1769186 2653779 3538372 4422965 5307558 7076744 8845930 10615116 13268895 14153488 17691860 21230232 26537790 35383720 42460464 53075580 70767440 106151160 212302320