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214015320 = 2332531127151
BaseRepresentation
bin11001100000110…
…01110101011000
3112220201002211100
430300121311120
5414241442240
633123031400
75206046241
oct1460316530
9486632740
10214015320
11aa895972
125b80b560
13354536ac
14205cdcc8
1513bc6e30
hexcc19d58

214015320 has 192 divisors, whose sum is σ = 728432640. Its totient is φ = 54432000.

The previous prime is 214015313. The next prime is 214015349. The reversal of 214015320 is 23510412.

214015320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214015293 and 214015302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417245 + ... + 1417395.

It is an arithmetic number, because the mean of its divisors is an integer number (3793920).

Almost surely, 2214015320 is an apocalyptic number.

214015320 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 214015320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364216320).

214015320 is an abundant number, since it is smaller than the sum of its proper divisors (514417320).

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

214015320 is a wasteful number, since it uses less digits than its factorization.

214015320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214015320 is about 14629.2624557768. The cubic root of 214015320 is about 598.1566760608.

Adding to 214015320 its reverse (23510412), we get a palindrome (237525732).

The spelling of 214015320 in words is "two hundred fourteen million, fifteen thousand, three hundred twenty".