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2230087296 = 27330718917
BaseRepresentation
bin1000010011101100…
…0110111010000000
312202102022011122210
42010323012322000
514031400243141
61005142302120
7106156300143
oct20473067200
95672264583
102230087296
11a4490a658
12522a27940
132970372a8
1417227005a
15d0bb1916
hex84ec6e80

2230087296 has 64 divisors (see below), whose sum is σ = 5943278880. Its totient is φ = 740901888.

The previous prime is 2230087213. The next prime is 2230087303. The reversal of 2230087296 is 6927800322.

It is a tau number, because it is divible by the number of its divisors (64).

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, 108430 + ... + 127346.

Almost surely, 22230087296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971639440).

2230087296 is an abundant number, since it is smaller than the sum of its proper divisors (3713191584).

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

2230087296 is a wasteful number, since it uses less digits than its factorization.

2230087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19241 (or 19229 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2230087296 is about 47223.8001012201. The cubic root of 2230087296 is about 1306.4936038091.

The spelling of 2230087296 in words is "two billion, two hundred thirty million, eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 307 384 614 921 1228 1842 2456 3684 4912 7368 9824 14736 18917 19648 29472 37834 39296 56751 58944 75668 113502 117888 151336 227004 302672 454008 605344 908016 1210688 1816032 2421376 3632064 5807519 7264128 11615038 17422557 23230076 34845114 46460152 69690228 92920304 139380456 185840608 278760912 371681216 557521824 743362432 1115043648 2230087296