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214144344 = 2333991409
BaseRepresentation
bin11001100001110…
…01010101011000
3112220221122211000
430300321111120
5414310104334
633125505000
75210124351
oct1460712530
9486848730
10214144344
11aa9738a7
125b872160
133549a33b
1420624d28
1513c00299
hexcc39558

214144344 has 32 divisors (see below), whose sum is σ = 594846000. Its totient is φ = 71381376.

The previous prime is 214144339. The next prime is 214144349. The reversal of 214144344 is 443441412.

214144344 is a `hidden beast` number, since 214 + 1 + 443 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (214144339) and next prime (214144349).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214144349) by changing a digit.

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, 495489 + ... + 495920.

Almost surely, 2214144344 is an apocalyptic number.

214144344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214144344 is an abundant number, since it is smaller than the sum of its proper divisors (380701656).

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

214144344 is a wasteful number, since it uses less digits than its factorization.

214144344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991424 (or 991414 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 214144344 is about 14633.6715830307. The cubic root of 214144344 is about 598.2768560288.

Adding to 214144344 its reverse (443441412), we get a palindrome (657585756).

The spelling of 214144344 in words is "two hundred fourteen million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 991409 1982818 2974227 3965636 5948454 7931272 8922681 11896908 17845362 23793816 26768043 35690724 53536086 71381448 107072172 214144344