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214004748 = 2234121032
BaseRepresentation
bin11001100000101…
…11010000001100
3112220200120022210
430300113100030
5414241122443
633122510420
75206003356
oct1460272014
9486616283
10214004748
11aa888a31
125b805410
133544b939
14205ca0d6
1513bc3c33
hexcc1740c

214004748 has 54 divisors (see below), whose sum is σ = 516837972. Its totient is φ = 68919360.

The previous prime is 214004743. The next prime is 214004753. The reversal of 214004748 is 847400412.

It is an interprime number because it is at equal distance from previous prime (214004743) and next prime (214004753).

It is not an unprimeable number, because it can be changed into a prime (214004743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2077665 + ... + 2077767.

Almost surely, 2214004748 is an apocalyptic number.

It is an amenable number.

214004748 is an abundant number, since it is smaller than the sum of its proper divisors (302833224).

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

214004748 is a wasteful number, since it uses less digits than its factorization.

214004748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 214004748 is about 14628.9011207267. The cubic root of 214004748 is about 598.1468265844.

The spelling of 214004748 in words is "two hundred fourteen million, four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 41 82 103 123 164 206 246 309 412 492 618 1236 1681 3362 4223 5043 6724 8446 10086 10609 12669 16892 20172 21218 25338 31827 42436 50676 63654 127308 173143 346286 434969 519429 692572 869938 1038858 1304907 1739876 2077716 2609814 5219628 17833729 35667458 53501187 71334916 107002374 214004748