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225350216 = 23721344221
BaseRepresentation
bin11010110111010…
…01001001001000
3120201000222101022
431123221021020
5430142201331
634210012012
75404305500
oct1533511110
9521028338
10225350216
11106227a53
1263577008
13378c1a30
1421d00a00
1514bb567b
hexd6e9248

225350216 has 48 divisors (see below), whose sum is σ = 529337340. Its totient is φ = 89147520.

The previous prime is 225350207. The next prime is 225350219. The reversal of 225350216 is 612053522.

It can be written as a sum of positive squares in 2 ways, for example, as 220641316 + 4708900 = 14854^2 + 2170^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (225350219) 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 11 ways as a sum of consecutive naturals, for example, 17015 + ... + 27206.

Almost surely, 2225350216 is an apocalyptic number.

225350216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

225350216 is an abundant number, since it is smaller than the sum of its proper divisors (303987124).

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

225350216 is a wasteful number, since it uses less digits than its factorization.

225350216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44254 (or 44243 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 225350216 is about 15011.6693275598. The cubic root of 225350216 is about 608.5356040372.

The spelling of 225350216 in words is "two hundred twenty-five million, three hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 44221 88442 176884 309547 353768 574873 619094 1149746 1238188 2166829 2299492 2476376 4024111 4333658 4598984 8048222 8667316 16096444 17334632 28168777 32192888 56337554 112675108 225350216