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225041355 = 33571121649
BaseRepresentation
bin11010110100111…
…01101111001011
3120200110021201000
431122131233023
5430102310410
634155230043
75401551150
oct1532355713
9520407630
10225041355
111060369a0
1263448323
1337814286
1421c60227
1514b53dc0
hexd69dbcb

225041355 has 64 divisors (see below), whose sum is σ = 498816000. Its totient is φ = 93519360.

The previous prime is 225041353. The next prime is 225041371. The reversal of 225041355 is 553140522.

It is a happy number.

225041355 is a `hidden beast` number, since 22 + 504 + 135 + 5 = 666.

It is not a de Polignac number, because 225041355 - 21 = 225041353 is a prime.

It is a super-2 number, since 2×2250413552 = 101287222920472050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225041353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 430 + ... + 21219.

It is an arithmetic number, because the mean of its divisors is an integer number (7794000).

Almost surely, 2225041355 is an apocalyptic number.

225041355 is an abundant number, since it is smaller than the sum of its proper divisors (273774645).

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

225041355 is a wasteful number, since it uses less digits than its factorization.

225041355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21681 (or 21675 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 225041355 is about 15001.3784366637. The cubic root of 225041355 is about 608.2574608988.

Adding to 225041355 its reverse (553140522), we get a palindrome (778181877).

The spelling of 225041355 in words is "two hundred twenty-five million, forty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1485 2079 3465 10395 21649 64947 108245 151543 194841 238139 324735 454629 584523 714417 757715 974205 1190695 1363887 1666973 2143251 2273145 2922615 3572085 4091661 5000919 6429753 6819435 8334865 10716255 15002757 20458305 25004595 32148765 45008271 75013785 225041355