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214661460 = 223513275207
BaseRepresentation
bin11001100101101…
…11100101010100
3112221220221011110
430302313211110
5414423131320
633144535020
75214410106
oct1462674524
9487827143
10214661460
11100197372
125ba81470
133561b820
142071b576
1513ca35e0
hexccb7954

214661460 has 48 divisors (see below), whose sum is σ = 647289216. Its totient is φ = 52839552.

The previous prime is 214661437. The next prime is 214661477. The reversal of 214661460 is 64166412.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 136824 + ... + 138383.

It is an arithmetic number, because the mean of its divisors is an integer number (13485192).

Almost surely, 2214661460 is an apocalyptic number.

214661460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214661460 is an abundant number, since it is smaller than the sum of its proper divisors (432627756).

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

214661460 is a wasteful number, since it uses less digits than its factorization.

214661460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275232 (or 275230 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 214661460 is about 14651.3296324941. The cubic root of 214661460 is about 598.7580421192.

The spelling of 214661460 in words is "two hundred fourteen million, six hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 275207 550414 825621 1100828 1376035 1651242 2752070 3302484 3577691 4128105 5504140 7155382 8256210 10733073 14310764 16512420 17888455 21466146 35776910 42932292 53665365 71553820 107330730 214661460