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214124440 = 23531172681
BaseRepresentation
bin11001100001101…
…00011110011000
3112220220122111211
430300310132120
5414303440230
633125232504
75210012335
oct1460643630
9486818454
10214124440
11aa95a952
125b862734
133549126a
142061b98c
1513be942a
hexcc34798

214124440 has 32 divisors (see below), whose sum is σ = 497324160. Its totient is φ = 82886400.

The previous prime is 214124431. The next prime is 214124453. The reversal of 214124440 is 44421412.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 85101 + ... + 87580.

It is an arithmetic number, because the mean of its divisors is an integer number (15541380).

Almost surely, 2214124440 is an apocalyptic number.

214124440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214124440 is an abundant number, since it is smaller than the sum of its proper divisors (283199720).

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

214124440 is a wasteful number, since it uses less digits than its factorization.

214124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172723 (or 172719 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 214124440 is about 14632.9914918311. The cubic root of 214124440 is about 598.2583195108.

Adding to 214124440 its reverse (44421412), we get a palindrome (258545852).

It can be divided in two parts, 21412 and 4440, that added together give a palindrome (25852).

The spelling of 214124440 in words is "two hundred fourteen million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 172681 345362 690724 863405 1381448 1726810 3453620 5353111 6907240 10706222 21412444 26765555 42824888 53531110 107062220 214124440