Search a number
-
+
212111240 = 23511482071
BaseRepresentation
bin11001010010010…
…00111110001000
3112210010100220212
430221020332020
5413300024430
633014140252
75153626055
oct1451107610
9483110825
10212111240
11a9805350
125b051688
1334c37b13
142025602c
151394cb95
hexca48f88

212111240 has 32 divisors (see below), whose sum is σ = 520637760. Its totient is φ = 77131200.

The previous prime is 212111219. The next prime is 212111243. The reversal of 212111240 is 42111212.

It is a happy number.

212111240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212111243) 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, 240596 + ... + 241475.

It is an arithmetic number, because the mean of its divisors is an integer number (16269930).

Almost surely, 2212111240 is an apocalyptic number.

212111240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111240 is an abundant number, since it is smaller than the sum of its proper divisors (308526520).

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

212111240 is a wasteful number, since it uses less digits than its factorization.

212111240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482093 (or 482089 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 212111240 is about 14564.0392748715. The cubic root of 212111240 is about 596.3774690956.

Adding to 212111240 its reverse (42111212), we get a palindrome (254222452).

The spelling of 212111240 in words is "two hundred twelve million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 482071 964142 1928284 2410355 3856568 4820710 5302781 9641420 10605562 19282840 21211124 26513905 42422248 53027810 106055620 212111240