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225897140 = 22572935507
BaseRepresentation
bin11010111011011…
…10101010110100
3120202001202121202
431131232222310
5430312202030
634225432032
75412044150
oct1535565264
9522052552
10225897140
11106570957
126379b618
1337a53961
1422004060
1514c72745
hexd76eab4

225897140 has 48 divisors (see below), whose sum is σ = 544102272. Its totient is φ = 77172096.

The previous prime is 225897131. The next prime is 225897143. The reversal of 225897140 is 41798522.

It is a junction number, because it is equal to n+sod(n) for n = 225897094 and 225897103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225897143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38267 + ... + 43773.

It is an arithmetic number, because the mean of its divisors is an integer number (11335464).

Almost surely, 2225897140 is an apocalyptic number.

225897140 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 225897140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272051136).

225897140 is an abundant number, since it is smaller than the sum of its proper divisors (318205132).

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

225897140 is a wasteful number, since it uses less digits than its factorization.

225897140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5816 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 225897140 is about 15029.8749163125. The cubic root of 225897140 is about 609.0275107265.

The spelling of 225897140 in words is "two hundred twenty-five million, eight hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 293 586 1172 1465 2051 2930 4102 5507 5860 8204 10255 11014 20510 22028 27535 38549 41020 55070 77098 110140 154196 192745 385490 770980 1613551 3227102 6454204 8067755 11294857 16135510 22589714 32271020 45179428 56474285 112948570 225897140