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225406096 = 2429599811
BaseRepresentation
bin11010110111101…
…10110010010000
3120201010211000221
431123312302100
5430200443341
634211122424
75404630426
oct1533666220
9521124027
10225406096
11106265a33
12635a3414
13379112b6
1421d17116
1514bc6ed1
hexd6f6c90

225406096 has 40 divisors (see below), whose sum is σ = 453096000. Its totient is φ = 108501120.

The previous prime is 225406091. The next prime is 225406099. The reversal of 225406096 is 690604522.

It is a super-2 number, since 2×2254060962 = 101615816227922432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225406091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277531 + ... + 278341.

It is an arithmetic number, because the mean of its divisors is an integer number (11327400).

Almost surely, 2225406096 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 225406096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226548000).

225406096 is an abundant number, since it is smaller than the sum of its proper divisors (227689904).

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

225406096 is a wasteful number, since it uses less digits than its factorization.

225406096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 225406096 is about 15013.5304309146. The cubic root of 225406096 is about 608.5858993210.

The spelling of 225406096 in words is "two hundred twenty-five million, four hundred six thousand, ninety-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 599 811 1198 1622 2396 3244 4792 6488 9584 12976 17371 23519 34742 47038 69484 94076 138968 188152 277936 376304 485789 971578 1943156 3886312 7772624 14087881 28175762 56351524 112703048 225406096