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225918848 = 2717473
BaseRepresentation
bin11010111011100…
…11111110000000
3120202002212101202
431131303332000
5430313400343
634230120332
75412164351
oct1535637600
9522085352
10225918848
111065861a1
12637b00a8
1337a607bc
142200bd28
1514c78db8
hexd773f80

225918848 has 64 divisors (see below), whose sum is σ = 486907200. Its totient is φ = 104052736.

The previous prime is 225918839. The next prime is 225918851. The reversal of 225918848 is 848819522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4806761 + ... + 4806807.

It is an arithmetic number, because the mean of its divisors is an integer number (7607925).

Almost surely, 2225918848 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 225918848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243453600).

225918848 is an abundant number, since it is smaller than the sum of its proper divisors (260988352).

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

225918848 is an frugal number, since it uses more digits than its factorization.

225918848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 66 counting only the distinct ones).

The product of its digits is 368640, while the sum is 47.

The square root of 225918848 is about 15030.5970606626. The cubic root of 225918848 is about 609.0470186402.

The spelling of 225918848 in words is "two hundred twenty-five million, nine hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 272 376 544 752 799 1088 1504 1598 2176 2209 3008 3196 4418 6016 6392 8836 12784 17672 25568 35344 37553 51136 70688 75106 102272 103823 141376 150212 207646 282752 300424 415292 600848 830584 1201696 1661168 1764991 2403392 3322336 3529982 4806784 6644672 7059964 13289344 14119928 28239856 56479712 112959424 225918848