Search a number
-
+
215400330 = 23354318553
BaseRepresentation
bin11001101011010…
…11111110001010
3120000022110201000
430311223332022
5420120302310
633212435430
75223605205
oct1465537612
9500273630
10215400330
11100651502
1260178b76
1335819c22
142087093c
1513d9c4c0
hexcd6bf8a

215400330 has 64 divisors (see below), whose sum is σ = 587790720. Its totient is φ = 56101248.

The previous prime is 215400329. The next prime is 215400331. The reversal of 215400330 is 33004512.

It is an interprime number because it is at equal distance from previous prime (215400329) and next prime (215400331).

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

It is not an unprimeable number, because it can be changed into a prime (215400331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2334 + ... + 20886.

It is an arithmetic number, because the mean of its divisors is an integer number (9184230).

Almost surely, 2215400330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215400330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293895360).

215400330 is an abundant number, since it is smaller than the sum of its proper divisors (372390390).

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

215400330 is a wasteful number, since it uses less digits than its factorization.

215400330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18612 (or 18606 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 215400330 is about 14676.5230896149. The cubic root of 215400330 is about 599.4442353684. Note that the first 3 decimals are identical.

Adding to 215400330 its reverse (33004512), we get a palindrome (248404842).

The spelling of 215400330 in words is "two hundred fifteen million, four hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 11610 18553 37106 55659 92765 111318 166977 185530 278295 333954 500931 556590 797779 834885 1001862 1595558 1669770 2393337 2504655 3988895 4786674 5009310 7180011 7977790 11966685 14360022 21540033 23933370 35900055 43080066 71800110 107700165 215400330