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225802240 = 211522051
BaseRepresentation
bin11010111010101…
…11100000000000
3120201212221102221
431131113200000
5430301132430
634223420424
75411200366
oct1535274000
9521787387
10225802240
11106506624
1263754714
1337a1c6c1
1421dbb636
1514c5457a
hexd757800

225802240 has 48 divisors (see below), whose sum is σ = 541817640. Its totient is φ = 90316800.

The previous prime is 225802237. The next prime is 225802253. The reversal of 225802240 is 42208522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 786 + ... + 21265.

Almost surely, 2225802240 is an apocalyptic number.

225802240 is a gapful number since it is divisible by the number (20) 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 225802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270908820).

225802240 is an abundant number, since it is smaller than the sum of its proper divisors (316015400).

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

225802240 is an equidigital number, since it uses as much as digits as its factorization.

225802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22078 (or 22058 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 225802240 is about 15026.7175391035. The cubic root of 225802240 is about 608.9422140790.

The spelling of 225802240 in words is "two hundred twenty-five million, eight hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 22051 44102 88204 110255 176408 220510 352816 441020 705632 882040 1411264 1764080 2822528 3528160 5645056 7056320 11290112 14112640 22580224 28225280 45160448 56450560 112901120 225802240