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225974820992 = 27420172
BaseRepresentation
bin1101001001110100100…
…1100010000010000000
3210121021120111022022112
43102131021202002000
512200244023232432
6251451132354452
722216603200044
oct3223511420200
9717246438275
10225974820992
1187920993708
1237966615a28
13184037b803b
14ad19b00024
155d28a027b2
hex349d262080

225974820992 has 24 divisors (see below), whose sum is σ = 450194928285. Its totient is φ = 112984721408.

The previous prime is 225974820979. The next prime is 225974820997. The reversal of 225974820992 is 299028479522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 188793726016 + 37181094976 = 434504^2 + 192824^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336136.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225974820997) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 5357168 + ... + 5399184.

Almost surely, 2225974820992 is an apocalyptic number.

It is an amenable number.

225974820992 is a deficient number, since it is larger than the sum of its proper divisors (224220107293).

225974820992 is an frugal number, since it uses more digits than its factorization.

225974820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84048 (or 42019 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 225974820992 in words is "two hundred twenty-five billion, nine hundred seventy-four million, eight hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 42017 84034 168068 336136 672272 1344544 2689088 5378176 1765428289 3530856578 7061713156 14123426312 28246852624 56493705248 112987410496 225974820992