Search a number
-
+
2148804315 = 33572273867
BaseRepresentation
bin1000000000010100…
…0010011011011011
312112202100120101000
42000011002123123
513400043214230
6553120200043
7104151351420
oct20005023333
95482316330
102148804315
11a02a42539
124bb769023
13283247c58
14165551d47
15c89a7b60
hex801426db

2148804315 has 32 divisors (see below), whose sum is σ = 4365826560. Its totient is φ = 982310112.

The previous prime is 2148804289. The next prime is 2148804319. The reversal of 2148804315 is 5134088412.

2148804315 is a `hidden beast` number, since 2 + 148 + 80 + 431 + 5 = 666.

It is not a de Polignac number, because 2148804315 - 25 = 2148804283 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2148804315.

It is not an unprimeable number, because it can be changed into a prime (2148804319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135989 + ... + 1137878.

It is an arithmetic number, because the mean of its divisors is an integer number (136432080).

Almost surely, 22148804315 is an apocalyptic number.

2148804315 is an abundant number, since it is smaller than the sum of its proper divisors (2217022245).

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

2148804315 is a wasteful number, since it uses less digits than its factorization.

2148804315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273888 (or 2273882 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2148804315 is about 46355.1972814268. The cubic root of 2148804315 is about 1290.4235764237.

The spelling of 2148804315 in words is "two billion, one hundred forty-eight million, eight hundred four thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2273867 6821601 11369335 15917069 20464803 34108005 47751207 61394409 79585345 102324015 143253621 238756035 306972045 429760863 716268105 2148804315