Search a number
-
+
214207240 = 23513411937
BaseRepresentation
bin11001100010010…
…00101100001000
3112221001212002111
430301020230020
5414314112430
633131112104
75210505622
oct1461105410
9487055074
10214207240
11aaa07085
125b8a2634
13354bcb60
142063dc12
1513c13c2a
hexcc48b08

214207240 has 32 divisors (see below), whose sum is σ = 519041880. Its totient is φ = 79091712.

The previous prime is 214207237. The next prime is 214207243. The reversal of 214207240 is 42702412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214207237) and next prime (214207243).

It can be written as a sum of positive squares in 4 ways, for example, as 60000516 + 154206724 = 7746^2 + 12418^2 .

It is not an unprimeable number, because it can be changed into a prime (214207243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205449 + ... + 206488.

Almost surely, 2214207240 is an apocalyptic number.

214207240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214207240 is an abundant number, since it is smaller than the sum of its proper divisors (304834640).

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

214207240 is a wasteful number, since it uses less digits than its factorization.

214207240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411961 (or 411957 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 214207240 is about 14635.8204416425. The cubic root of 214207240 is about 598.3354232815.

Adding to 214207240 its reverse (42702412), we get a palindrome (256909652).

The spelling of 214207240 in words is "two hundred fourteen million, two hundred seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 411937 823874 1647748 2059685 3295496 4119370 5355181 8238740 10710362 16477480 21420724 26775905 42841448 53551810 107103620 214207240