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212120320 = 285165719
BaseRepresentation
bin11001010010010…
…11001100000000
3112210010211101011
430221023030000
5413300322240
633014250304
75153664406
oct1451131400
9483124334
10212120320
11a9811155
125b056994
1334c3bca9
1420259476
15139506ea
hexca4b300

212120320 has 36 divisors (see below), whose sum is σ = 508097520. Its totient is φ = 84847616.

The previous prime is 212120291. The next prime is 212120327. The reversal of 212120320 is 23021212.

It is a self number, because there is not a number n which added to its sum of digits gives 212120320.

It is not an unprimeable number, because it can be changed into a prime (212120327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81580 + ... + 84139.

It is an arithmetic number, because the mean of its divisors is an integer number (14113820).

Almost surely, 2212120320 is an apocalyptic number.

212120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120320 is an abundant number, since it is smaller than the sum of its proper divisors (295977200).

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

212120320 is an equidigital number, since it uses as much as digits as its factorization.

212120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165740 (or 165726 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212120320 is about 14564.3509982422. The cubic root of 212120320 is about 596.3859788287.

Adding to 212120320 its reverse (23021212), we get a palindrome (235141532).

The spelling of 212120320 in words is "two hundred twelve million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 165719 331438 662876 828595 1325752 1657190 2651504 3314380 5303008 6628760 10606016 13257520 21212032 26515040 42424064 53030080 106060160 212120320