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214054140 = 223517209857
BaseRepresentation
bin11001100001000…
…11010011111100
3112220210002002010
430300203103330
5414244213030
633123531220
75206300356
oct1460432374
9486702063
10214054140
11aa912053
125b829b10
1335468271
14206000d6
1513bd36b0
hexcc234fc

214054140 has 48 divisors (see below), whose sum is σ = 634610592. Its totient is φ = 53723136.

The previous prime is 214054117. The next prime is 214054187. The reversal of 214054140 is 41450412.

It is a happy number.

214054140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2140541402 = 91638349702279200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103909 + ... + 105948.

It is an arithmetic number, because the mean of its divisors is an integer number (13221054).

Almost surely, 2214054140 is an apocalyptic number.

214054140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214054140 is an abundant number, since it is smaller than the sum of its proper divisors (420556452).

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

214054140 is a wasteful number, since it uses less digits than its factorization.

214054140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209886 (or 209884 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 214054140 is about 14630.5891884093. The cubic root of 214054140 is about 598.1928401982.

It can be divided in two parts, 2140 and 54140, that added together give a triangular number (56280 = T335).

The spelling of 214054140 in words is "two hundred fourteen million, fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 209857 419714 629571 839428 1049285 1259142 2098570 2518284 3147855 3567569 4197140 6295710 7135138 10702707 12591420 14270276 17837845 21405414 35675690 42810828 53513535 71351380 107027070 214054140