Search a number
-
+
215336904355200 = 27352238322352691
BaseRepresentation
bin110000111101100100000111…
…101100001110110110000000
31001020110000012002221221201110
4300331210013230032312000
5211211034440003331300
62041552224100403320
763233402142342135
oct6075440754166600
91036400162857643
10215336904355200
1162681960761431
12201998996a6540
13932024bc2ac14
143b2650ca2658c
1519d6618c11550
hexc3d907b0ed80

215336904355200 has 768 divisors, whose sum is σ = 752393603727360. Its totient is φ = 54020384563200.

The previous prime is 215336904355189. The next prime is 215336904355253. The reversal of 215336904355200 is 2553409633512.

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

It is a self number, because there is not a number n which added to its sum of digits gives 215336904355200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4086760855 + ... + 4086813545.

It is an arithmetic number, because the mean of its divisors is an integer number (979679171520).

Almost surely, 2215336904355200 is an apocalyptic number.

215336904355200 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 215336904355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376196801863680).

215336904355200 is an abundant number, since it is smaller than the sum of its proper divisors (537056699372160).

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

215336904355200 is a wasteful number, since it uses less digits than its factorization.

215336904355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53047 (or 53030 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

The spelling of 215336904355200 in words is "two hundred fifteen trillion, three hundred thirty-six billion, nine hundred four million, three hundred fifty-five thousand, two hundred".