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214805331 = 33135631087
BaseRepresentation
bin11001100110110…
…10101101010011
3112222012020112000
430303122231103
5414442232311
633152005043
75215546416
oct1463325523
9488166460
10214805331
11100285474
125bb30783
133566c160
1420757b7d
1513cd1056
hexccdab53

214805331 has 32 divisors (see below), whose sum is σ = 343633920. Its totient is φ = 131831712.

The previous prime is 214805329. The next prime is 214805341. The reversal of 214805331 is 133508412.

It is a happy number.

It is not a de Polignac number, because 214805331 - 21 = 214805329 is a prime.

It is a super-2 number, since 2×2148053312 = 92282660452039122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214805295 and 214805304.

It is not an unprimeable number, because it can be changed into a prime (214805321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197070 + ... + 198156.

It is an arithmetic number, because the mean of its divisors is an integer number (10738560).

Almost surely, 2214805331 is an apocalyptic number.

214805331 is a deficient number, since it is larger than the sum of its proper divisors (128828589).

214805331 is a wasteful number, since it uses less digits than its factorization.

214805331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 214805331 is about 14656.2386375222. The cubic root of 214805331 is about 598.8917793385.

The spelling of 214805331 in words is "two hundred fourteen million, eight hundred five thousand, three hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 563 1087 1689 3261 5067 7319 9783 14131 15201 21957 29349 42393 65871 127179 197613 381537 611981 1835943 5507829 7955753 16523487 23867259 71601777 214805331