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214233440 = 2552946171
BaseRepresentation
bin11001100010011…
…11000101100000
3112221010012000212
430301033011200
5414320432230
633131433252
75210645201
oct1461170540
9487105025
10214233440
11aaa24833
125b8b5828
13354cba65
14206495a8
1513c1b895
hexcc4f160

214233440 has 48 divisors (see below), whose sum is σ = 523590480. Its totient is φ = 82736640.

The previous prime is 214233433. The next prime is 214233449. The reversal of 214233440 is 44332412.

214233440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214233449) 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, 18446 + ... + 27725.

It is an arithmetic number, because the mean of its divisors is an integer number (10908135).

Almost surely, 2214233440 is an apocalyptic number.

214233440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214233440 is an abundant number, since it is smaller than the sum of its proper divisors (309357040).

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

214233440 is a wasteful number, since it uses less digits than its factorization.

214233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46215 (or 46207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 214233440 is about 14636.7154785491. The cubic root of 214233440 is about 598.3598167132.

Adding to 214233440 its reverse (44332412), we get a palindrome (258565852).

The spelling of 214233440 in words is "two hundred fourteen million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 46171 92342 184684 230855 369368 461710 738736 923420 1338959 1477472 1846840 2677918 3693680 5355836 6694795 7387360 10711672 13389590 21423344 26779180 42846688 53558360 107116720 214233440