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225229088 = 25723792
BaseRepresentation
bin11010110110010…
…11100100100000
3120200210211020002
431123023210200
5430124312323
634203235132
75403262400
oct1533134440
9520724202
10225229088
11106154a47
1263518aa8
133787b866
1421cac800
1514b8e828
hexd6cb920

225229088 has 54 divisors (see below), whose sum is σ = 517179411. Its totient is φ = 96272064.

The previous prime is 225229013. The next prime is 225229093. The reversal of 225229088 is 880922522.

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 only one way, i.e., 112614544 + 112614544 = 10612^2 + 10612^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10612.

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 8 ways as a sum of consecutive naturals, for example, 594083 + ... + 594461.

Almost surely, 2225229088 is an apocalyptic number.

225229088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225229088

225229088 is an abundant number, since it is smaller than the sum of its proper divisors (291950323).

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

225229088 is an frugal number, since it uses more digits than its factorization.

225229088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 225229088 is about 15007.6343239033. The cubic root of 225229088 is about 608.4265531672.

The spelling of 225229088 in words is "two hundred twenty-five million, two hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 379 392 758 784 1516 1568 2653 3032 5306 6064 10612 12128 18571 21224 37142 42448 74284 84896 143641 148568 287282 297136 574564 594272 1005487 1149128 2010974 2298256 4021948 4596512 7038409 8043896 14076818 16087792 28153636 32175584 56307272 112614544 225229088