Search a number
-
+
215198688 = 25313916127
BaseRepresentation
bin11001101001110…
…10101111100000
3112222221020002210
430310322233200
5420042324223
633204242120
75222105265
oct1464725740
9488836083
10215198688
11100523a61
12600a0340
1335779203
142081b26c
1513d5c893
hexcd3abe0

215198688 has 48 divisors (see below), whose sum is σ = 568995840. Its totient is φ = 71212416.

The previous prime is 215198677. The next prime is 215198701. The reversal of 215198688 is 886891512.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5281 + ... + 21407.

It is an arithmetic number, because the mean of its divisors is an integer number (11854080).

Almost surely, 2215198688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215198688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284497920).

215198688 is an abundant number, since it is smaller than the sum of its proper divisors (353797152).

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

215198688 is a wasteful number, since it uses less digits than its factorization.

215198688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16279 (or 16271 counting only the distinct ones).

The product of its digits is 276480, while the sum is 48.

The square root of 215198688 is about 14669.6519386112. The cubic root of 215198688 is about 599.2571250521.

The spelling of 215198688 in words is "two hundred fifteen million, one hundred ninety-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 13344 16127 32254 48381 64508 96762 129016 193524 258032 387048 516064 774096 1548192 2241653 4483306 6724959 8966612 13449918 17933224 26899836 35866448 53799672 71732896 107599344 215198688