Search a number
-
+
214511320 = 23531172993
BaseRepresentation
bin11001100100100…
…10111011011000
3112221122022012201
430302102323120
5414403330240
633141415544
75213213302
oct1462227330
9487568181
10214511320
111000a4591
125ba0a5b4
133559839a
14206bc972
1513c73d9a
hexcc92ed8

214511320 has 32 divisors (see below), whose sum is σ = 498222720. Its totient is φ = 83036160.

The previous prime is 214511309. The next prime is 214511417. The reversal of 214511320 is 23115412.

214511320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 85257 + ... + 87736.

It is an arithmetic number, because the mean of its divisors is an integer number (15569460).

Almost surely, 2214511320 is an apocalyptic number.

214511320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214511320 is an abundant number, since it is smaller than the sum of its proper divisors (283711400).

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

214511320 is a wasteful number, since it uses less digits than its factorization.

214511320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173035 (or 173031 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 214511320 is about 14646.2049692062. The cubic root of 214511320 is about 598.6184137334.

Adding to 214511320 its reverse (23115412), we get a palindrome (237626732).

The spelling of 214511320 in words is "two hundred fourteen million, five hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 172993 345986 691972 864965 1383944 1729930 3459860 5362783 6919720 10725566 21451132 26813915 42902264 53627830 107255660 214511320