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225781416 = 23327263997
BaseRepresentation
bin11010111010100…
…10011010101000
3120201211212212200
431131102122220
5430300001131
634223140200
75411052600
oct1535223250
9521755780
10225781416
111064a1a13
1263744660
1337a13093
1421db3c00
1514c4d2e6
hexd7526a8

225781416 has 72 divisors (see below), whose sum is σ = 711337770. Its totient is φ = 64507968.

The previous prime is 225781397. The next prime is 225781417. The reversal of 225781416 is 614187522.

225781416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 164096100 + 61685316 = 12810^2 + 7854^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225781417) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28471 + ... + 35526.

Almost surely, 2225781416 is an apocalyptic number.

It is an amenable number.

225781416 is an abundant number, since it is smaller than the sum of its proper divisors (485556354).

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

225781416 is a wasteful number, since it uses less digits than its factorization.

225781416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64023 (or 64009 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 225781416 is about 15026.0246239649. The cubic root of 225781416 is about 608.9234941547.

The spelling of 225781416 in words is "two hundred twenty-five million, seven hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 63997 127994 191991 255988 383982 447979 511976 575973 767964 895958 1151946 1343937 1535928 1791916 2303892 2687874 3135853 3583832 4031811 4607784 5375748 6271706 8063622 9407559 10751496 12543412 16127244 18815118 25086824 28222677 32254488 37630236 56445354 75260472 112890708 225781416