Search a number
-
+
214115352 = 233112927967
BaseRepresentation
bin11001100001100…
…10010000011000
3112220220012001020
430300302100120
5414303142402
633125122440
75206644003
oct1460622030
9486805036
10214115352
11aa954040
125b859420
133548a099
142061853a
1513be68bc
hexcc32418

214115352 has 64 divisors (see below), whose sum is σ = 604108800. Its totient is φ = 62643840.

The previous prime is 214115311. The next prime is 214115413. The reversal of 214115352 is 253511412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6328 + ... + 21639.

It is an arithmetic number, because the mean of its divisors is an integer number (9439200).

Almost surely, 2214115352 is an apocalyptic number.

214115352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214115352 is an abundant number, since it is smaller than the sum of its proper divisors (389993448).

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

214115352 is a wasteful number, since it uses less digits than its factorization.

214115352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28016 (or 28012 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 214115352 is about 14632.6809573639. The cubic root of 214115352 is about 598.2498555096.

Adding to 214115352 its reverse (253511412), we get a palindrome (467626764).

The spelling of 214115352 in words is "two hundred fourteen million, one hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 27967 55934 83901 111868 167802 223736 307637 335604 615274 671208 811043 922911 1230548 1622086 1845822 2433129 2461096 3244172 3691644 4866258 6488344 7383288 8921473 9732516 17842946 19465032 26764419 35685892 53528838 71371784 107057676 214115352