Search a number
-
+
15214200 = 2335225357
BaseRepresentation
bin111010000010…
…011001111000
31001121221221220
4322002121320
512343323300
61302032040
7243214161
oct72023170
931557856
1015214200
118651721
125118620
1331c8cb1
142040768
151507da0
hexe82678

15214200 has 48 divisors (see below), whose sum is σ = 47165880. Its totient is φ = 4056960.

The previous prime is 15214189. The next prime is 15214249. The reversal of 15214200 is 241251.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 15214200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12079 + ... + 13278.

Almost surely, 215214200 is an apocalyptic number.

15214200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15214200 is an abundant number, since it is smaller than the sum of its proper divisors (31951680).

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

15214200 is a wasteful number, since it uses less digits than its factorization.

15214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25376 (or 25367 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 15214200 is about 3900.5384243717. The cubic root of 15214200 is about 247.7895804483.

Adding to 15214200 its reverse (241251), we get a palindrome (15455451).

The spelling of 15214200 in words is "fifteen million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 25357 50714 76071 101428 126785 152142 202856 253570 304284 380355 507140 608568 633925 760710 1014280 1267850 1521420 1901775 2535700 3042840 3803550 5071400 7607100 15214200