Search a number
-
+
214910240 = 2558316183
BaseRepresentation
bin11001100111101…
…00010100100000
3112222101120102112
430303310110200
5420004111430
633154134452
75216464316
oct1463642440
9488346375
10214910240
11100347276
125bb81428
13356a7b2c
14207840b6
1513d02195
hexccf4520

214910240 has 48 divisors (see below), whose sum is σ = 513874368. Its totient is φ = 84923136.

The previous prime is 214910237. The next prime is 214910261. The reversal of 214910240 is 42019412.

It is a super-2 number, since 2×2149102402 = 92372822513715200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5189 + ... + 21371.

It is an arithmetic number, because the mean of its divisors is an integer number (10705716).

Almost surely, 2214910240 is an apocalyptic number.

214910240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256937184).

214910240 is an abundant number, since it is smaller than the sum of its proper divisors (298964128).

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

214910240 is a wasteful number, since it uses less digits than its factorization.

214910240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16281 (or 16273 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 214910240 is about 14659.8171884918. The cubic root of 214910240 is about 598.9892612644.

Adding to 214910240 its reverse (42019412), we get a palindrome (256929652).

The spelling of 214910240 in words is "two hundred fourteen million, nine hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 13280 16183 32366 64732 80915 129464 161830 258928 323660 517856 647320 1294640 1343189 2589280 2686378 5372756 6715945 10745512 13431890 21491024 26863780 42982048 53727560 107455120 214910240