Search a number
-
+
2226993696 = 25332577539
BaseRepresentation
bin1000010010111101…
…0011101000100000
312202012111000001000
42010233103220200
514030102244241
61004552112000
7106121063664
oct20457235040
95665430030
102226993696
11a43097364
12521995600
132964c3165
14171aa68a4
15d079eeb6
hex84bd3a20

2226993696 has 48 divisors (see below), whose sum is σ = 6495400800. Its totient is φ = 742330944.

The previous prime is 2226993649. The next prime is 2226993707. The reversal of 2226993696 is 6963996222.

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 (54).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 1287906 + ... + 1289633.

It is an arithmetic number, because the mean of its divisors is an integer number (135320850).

Almost surely, 22226993696 is an apocalyptic number.

It is an amenable number.

2226993696 is an abundant number, since it is smaller than the sum of its proper divisors (4268407104).

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

2226993696 is a wasteful number, since it uses less digits than its factorization.

2226993696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577558 (or 2577544 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 2226993696 is about 47191.0340636863. The cubic root of 2226993696 is about 1305.8891971282.

The spelling of 2226993696 in words is "two billion, two hundred twenty-six million, nine hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2577539 5155078 7732617 10310156 15465234 20620312 23197851 30930468 41240624 46395702 61860936 69593553 82481248 92791404 123721872 139187106 185582808 247443744 278374212 371165616 556748424 742331232 1113496848 2226993696