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214003460 = 225111951197
BaseRepresentation
bin11001100000101…
…10111100000100
3112220200111120002
430300112330010
5414241102320
633122500432
75205666536
oct1460267404
9486614502
10214003460
11aa887a70
125b804718
133544b188
14205c9856
1513bc3675
hexcc16f04

214003460 has 48 divisors (see below), whose sum is σ = 516075840. Its totient is φ = 73722240.

The previous prime is 214003457. The next prime is 214003469. The reversal of 214003460 is 64300412.

It is a happy number.

214003460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (214003469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21419 + ... + 29778.

It is an arithmetic number, because the mean of its divisors is an integer number (10751580).

Almost surely, 2214003460 is an apocalyptic number.

214003460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214003460 is an abundant number, since it is smaller than the sum of its proper divisors (302072380).

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

214003460 is a wasteful number, since it uses less digits than its factorization.

214003460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51236 (or 51234 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 214003460 is about 14628.8570982152. The cubic root of 214003460 is about 598.1456265882.

Adding to 214003460 its reverse (64300412), we get a palindrome (278303872).

The spelling of 214003460 in words is "two hundred fourteen million, three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 51197 102394 204788 255985 511970 563167 972743 1023940 1126334 1945486 2252668 2815835 3890972 4863715 5631670 9727430 10700173 11263340 19454860 21400346 42800692 53500865 107001730 214003460