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2225574976 = 2658972
BaseRepresentation
bin1000010010100111…
…1001010001000000
312202002210220220211
42010221321101000
514024221344401
61004501443504
7106103034532
oct20451712100
95662726824
102225574976
11a42308469
12521410594
13296117491
14171817852
15d05be951
hex84a79440

2225574976 has 21 divisors (see below), whose sum is σ = 4417124389. Its totient is φ = 1112598784.

The previous prime is 2225574959. The next prime is 2225574983. The reversal of 2225574976 is 6794755222.

It is a happy number.

The square root of 2225574976 is 47176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2046657600 + 178917376 = 45240^2 + 13376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 374460 + ... + 380356.

Almost surely, 22225574976 is an apocalyptic number.

2225574976 is the 47176-th square number.

It is an amenable number.

2225574976 is a deficient number, since it is larger than the sum of its proper divisors (2191549413).

2225574976 is an frugal number, since it uses more digits than its factorization.

2225574976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11806 (or 5899 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 49.

The cubic root of 2225574976 is about 1305.6118299782.

Multiplying 2225574976 by its sum of digits (49), we get a square (109053173824 = 3302322).

The spelling of 2225574976 in words is "two billion, two hundred twenty-five million, five hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 5897 11794 23588 47176 94352 188704 377408 34774609 69549218 139098436 278196872 556393744 1112787488 2225574976