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214043120 = 24523311483
BaseRepresentation
bin11001100001000…
…00100111110000
3112220202111221222
430300200213300
5414243334440
633123404212
75206223264
oct1460404760
9486674858
10214043120
11aa904845
125b823668
1335463245
14205da0a4
1513bd02b5
hexcc209f0

214043120 has 40 divisors (see below), whose sum is σ = 499829616. Its totient is φ = 85242368.

The previous prime is 214043111. The next prime is 214043143. The reversal of 214043120 is 21340412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12899 + ... + 24381.

Almost surely, 2214043120 is an apocalyptic number.

214043120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214043120 is an abundant number, since it is smaller than the sum of its proper divisors (285786496).

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

214043120 is a wasteful number, since it uses less digits than its factorization.

214043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729 (or 11723 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 214043120 is about 14630.2125753524. The cubic root of 214043120 is about 598.1825745738.

Adding to 214043120 its reverse (21340412), we get a palindrome (235383532).

The spelling of 214043120 in words is "two hundred fourteen million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 466 932 1165 1864 2330 3728 4660 9320 11483 18640 22966 45932 57415 91864 114830 183728 229660 459320 918640 2675539 5351078 10702156 13377695 21404312 26755390 42808624 53510780 107021560 214043120