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214417449 = 3416272
BaseRepresentation
bin11001100011111…
…00000000101001
3112221110112110000
430301330000221
5414342324244
633135413213
75212342521
oct1461740051
9487415400
10214417449
11100040004
125b984209
133556473c
1420696681
1513c56169
hexcc7c029

214417449 has 15 divisors (see below), whose sum is σ = 320499597. Its totient is φ = 142857108.

The previous prime is 214417439. The next prime is 214417453. The reversal of 214417449 is 944714412.

The square root of 214417449 is 14643.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 214417449 - 213 = 214409257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214417439) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 130974 + ... + 132600.

Almost surely, 2214417449 is an apocalyptic number.

214417449 is the 14643-rd square number.

214417449 is the 7322-nd centered octagonal number.

It is an amenable number.

214417449 is a deficient number, since it is larger than the sum of its proper divisors (106082148).

214417449 is an frugal number, since it uses more digits than its factorization.

214417449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 1630 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The cubic root of 214417449 is about 598.5310817333.

Multiplying 214417449 by its sum of digits (36), we get a square (7719028164 = 878582).

The spelling of 214417449 in words is "two hundred fourteen million, four hundred seventeen thousand, four hundred forty-nine".

Divisors: 1 3 9 27 81 1627 4881 14643 43929 131787 2647129 7941387 23824161 71472483 214417449