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214304140 = 225103910313
BaseRepresentation
bin11001100011000…
…00010110001100
3112221020210000101
430301200112030
5414330213030
633133140444
75211361261
oct1461402614
9487223011
10214304140
11aaa72966
125b92a724
1335524cab
1420667268
1513c327ca
hexcc6058c

214304140 has 24 divisors (see below), whose sum is σ = 450515520. Its totient is φ = 85630848.

The previous prime is 214304099. The next prime is 214304141. The reversal of 214304140 is 41403412.

It is a super-2 number, since 2×2143041402 = 91852528842279200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214304141) by changing a digit.

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, 15624 + ... + 25936.

It is an arithmetic number, because the mean of its divisors is an integer number (18771480).

Almost surely, 2214304140 is an apocalyptic number.

214304140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214304140 is an abundant number, since it is smaller than the sum of its proper divisors (236211380).

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

214304140 is a wasteful number, since it uses less digits than its factorization.

214304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11361 (or 11359 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 214304140 is about 14639.1304386565. The cubic root of 214304140 is about 598.4256318138.

Adding to 214304140 its reverse (41403412), we get a palindrome (255707552).

The spelling of 214304140 in words is "two hundred fourteen million, three hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1039 2078 4156 5195 10313 10390 20626 20780 41252 51565 103130 206260 10715207 21430414 42860828 53576035 107152070 214304140