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214101140 = 22511973187
BaseRepresentation
bin11001100001011…
…10110010010100
3112220212110112212
430300232302110
5414302214030
633124532552
75206554401
oct1460566224
9486773485
10214101140
11aa9443a0
125b851158
1335483786
14206132a8
1513be2595
hexcc2ec94

214101140 has 24 divisors (see below), whose sum is σ = 490486752. Its totient is φ = 77854880.

The previous prime is 214101131. The next prime is 214101143. The reversal of 214101140 is 41101412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214101143) 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, 486374 + ... + 486813.

It is an arithmetic number, because the mean of its divisors is an integer number (20436948).

Almost surely, 2214101140 is an apocalyptic number.

214101140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214101140 is an abundant number, since it is smaller than the sum of its proper divisors (276385612).

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

214101140 is a wasteful number, since it uses less digits than its factorization.

214101140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973207 (or 973205 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 214101140 is about 14632.1953240107. The cubic root of 214101140 is about 598.2366188516.

Adding to 214101140 its reverse (41101412), we get a palindrome (255202552).

The spelling of 214101140 in words is "two hundred fourteen million, one hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 973187 1946374 3892748 4865935 9731870 10705057 19463740 21410114 42820228 53525285 107050570 214101140