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225895740 = 22357537847
BaseRepresentation
bin11010111011011…
…10010100111100
3120202001200200220
431131232110330
5430312130430
634225421340
75412040110
oct1535562474
9522050626
10225895740
1110656a8a4
126379a850
1337a53125
1422003740
1514c72110
hexd76e53c

225895740 has 48 divisors (see below), whose sum is σ = 722867712. Its totient is φ = 51633216.

The previous prime is 225895721. The next prime is 225895741. The reversal of 225895740 is 47598522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 225895692 and 225895701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225895741) 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, 268504 + ... + 269343.

It is an arithmetic number, because the mean of its divisors is an integer number (15059744).

Almost surely, 2225895740 is an apocalyptic number.

225895740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225895740 is an abundant number, since it is smaller than the sum of its proper divisors (496971972).

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

225895740 is a wasteful number, since it uses less digits than its factorization.

225895740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537866 (or 537864 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 225895740 is about 15029.8283423331. The cubic root of 225895740 is about 609.0262525723.

The spelling of 225895740 in words is "two hundred twenty-five million, eight hundred ninety-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 537847 1075694 1613541 2151388 2689235 3227082 3764929 5378470 6454164 7529858 8067705 10756940 11294787 15059716 16135410 18824645 22589574 32270820 37649290 45179148 56473935 75298580 112947870 225895740