Search a number
-
+
2290401216 = 26323976391
BaseRepresentation
bin1000100010000100…
…1011111111000000
312220121210102210200
42020201023333000
514142320314331
61015135125200
7110521042365
oct21041137700
95817712720
102290401216
11a75965374
1253b073800
132a66940bc
1417a29046c
15d61275e6
hex8884bfc0

2290401216 has 42 divisors (see below), whose sum is σ = 6565023192. Its totient is φ = 763466880.

The previous prime is 2290401193. The next prime is 2290401247. The reversal of 2290401216 is 6121040922.

It is a self number, because there is not a number n which added to its sum of digits gives 2290401216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1987620 + ... + 1988771.

It is an arithmetic number, because the mean of its divisors is an integer number (156310076).

Almost surely, 22290401216 is an apocalyptic number.

It is an amenable number.

2290401216 is an abundant number, since it is smaller than the sum of its proper divisors (4274621976).

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

2290401216 is a wasteful number, since it uses less digits than its factorization.

2290401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976409 (or 3976396 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2290401216 is about 47858.1363615425. The cubic root of 2290401216 is about 1318.1672637021.

The spelling of 2290401216 in words is "two billion, two hundred ninety million, four hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3976391 7952782 11929173 15905564 23858346 31811128 35787519 47716692 63622256 71575038 95433384 127244512 143150076 190866768 254489024 286300152 381733536 572600304 763467072 1145200608 2290401216