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214201140 = 22353796487
BaseRepresentation
bin11001100010001…
…11001100110100
3112221001112201120
430301013030310
5414313414030
633131023540
75210452056
oct1461071464
9487045646
10214201140
11aaa0253a
125b89abb0
13354ba14a
142063b8d6
1513c12010
hexcc47334

214201140 has 48 divisors (see below), whose sum is σ = 615979392. Its totient is φ = 55575936.

The previous prime is 214201133. The next prime is 214201147. The reversal of 214201140 is 41102412.

It is an interprime number because it is at equal distance from previous prime (214201133) and next prime (214201147).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214201147) 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 15 ways as a sum of consecutive naturals, for example, 46024 + ... + 50463.

It is an arithmetic number, because the mean of its divisors is an integer number (12832904).

Almost surely, 2214201140 is an apocalyptic number.

214201140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214201140 is an abundant number, since it is smaller than the sum of its proper divisors (401778252).

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

214201140 is a wasteful number, since it uses less digits than its factorization.

214201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96536 (or 96534 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214201140 is about 14635.6120473317. The cubic root of 214201140 is about 598.3297436093.

Adding to 214201140 its reverse (41102412), we get a palindrome (255303552).

The spelling of 214201140 in words is "two hundred fourteen million, two hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 96487 192974 289461 385948 482435 578922 964870 1157844 1447305 1929740 2894610 3570019 5789220 7140038 10710057 14280076 17850095 21420114 35700190 42840228 53550285 71400380 107100570 214201140