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214014440 = 23543124427
BaseRepresentation
bin11001100000110…
…01100111101000
3112220201001121202
430300121213220
5414241430230
633123023332
75206043543
oct1460314750
9486631552
10214014440
11aa895242
125b80ab48
1335453183
14205cd85a
1513bc6a45
hexcc199e8

214014440 has 32 divisors (see below), whose sum is σ = 492734880. Its totient is φ = 83614272.

The previous prime is 214014433. The next prime is 214014457. The reversal of 214014440 is 44410412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 60494 + ... + 63933.

It is an arithmetic number, because the mean of its divisors is an integer number (15397965).

Almost surely, 2214014440 is an apocalyptic number.

214014440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214014440 is an abundant number, since it is smaller than the sum of its proper divisors (278720440).

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

214014440 is a wasteful number, since it uses less digits than its factorization.

214014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124481 (or 124477 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 214014440 is about 14629.2323790416. The cubic root of 214014440 is about 598.1558562151.

Adding to 214014440 its reverse (44410412), we get a palindrome (258424852).

The spelling of 214014440 in words is "two hundred fourteen million, fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 124427 248854 497708 622135 995416 1244270 2488540 4977080 5350361 10700722 21401444 26751805 42802888 53503610 107007220 214014440