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225742848 = 212318371
BaseRepresentation
bin11010111010010…
…01000000000000
3120201202220222020
431131021000000
5430242232343
634222241440
75410532262
oct1535110000
9521686866
10225742848
11106475a41
1263726280
13379cb666
1421da3b32
1514c41b83
hexd749000

225742848 has 52 divisors (see below), whose sum is σ = 601940208. Its totient is φ = 75243520.

The previous prime is 225742841. The next prime is 225742849. The reversal of 225742848 is 848247522.

It is a super-2 number, since 2×2257428482 = 101919666846302208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225742841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3103 + ... + 21473.

Almost surely, 2225742848 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 225742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300970104).

225742848 is an abundant number, since it is smaller than the sum of its proper divisors (376197360).

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

225742848 is an equidigital number, since it uses as much as digits as its factorization.

225742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18398 (or 18376 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 225742848 is about 15024.7411957744. The cubic root of 225742848 is about 608.8888200599. Note that the first 4 decimals are identical.

The spelling of 225742848 in words is "two hundred twenty-five million, seven hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 18371 36742 55113 73484 110226 146968 220452 293936 440904 587872 881808 1175744 1763616 2351488 3527232 4702976 7054464 9405952 14108928 18811904 28217856 37623808 56435712 75247616 112871424 225742848