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214889265 = 325172571093
BaseRepresentation
bin11001100111011…
…11001100110001
3112222100111122200
430303233030301
5420002424030
633153453413
75216346213
oct1463571461
9488314580
10214889265
11100332538
125bb71269
133569b416
142077a5b3
1513cead60
hexccef331

214889265 has 48 divisors (see below), whose sum is σ = 396281808. Its totient is φ = 107347968.

The previous prime is 214889263. The next prime is 214889281. The reversal of 214889265 is 562988412.

214889265 is a `hidden beast` number, since 21 + 488 + 92 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 97535376 + 117353889 = 9876^2 + 10833^2 .

It is not a de Polignac number, because 214889265 - 21 = 214889263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 214889265.

It is not an unprimeable number, because it can be changed into a prime (214889263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196059 + ... + 197151.

It is an arithmetic number, because the mean of its divisors is an integer number (8255871).

Almost surely, 2214889265 is an apocalyptic number.

It is an amenable number.

214889265 is a deficient number, since it is larger than the sum of its proper divisors (181392543).

214889265 is a wasteful number, since it uses less digits than its factorization.

214889265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1375 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 214889265 is about 14659.1017801228. The cubic root of 214889265 is about 598.9697737355.

The spelling of 214889265 in words is "two hundred fourteen million, eight hundred eighty-nine thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 257 765 771 1093 1285 2313 3279 3855 4369 5465 9837 11565 13107 16395 18581 21845 39321 49185 55743 65535 92905 167229 196605 278715 280901 836145 842703 1404505 2528109 4213515 4775317 12640545 14325951 23876585 42977853 71629755 214889265