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225981765 = 3351798467
BaseRepresentation
bin11010111100000…
…11010101000101
3120202020001201000
431132003111011
5430322404030
634231323513
75412545652
oct1536032505
9522201630
10225981765
11106619499
1263820599
1337a83329
1422026c29
1514c8c860
hexd783545

225981765 has 32 divisors (see below), whose sum is σ = 425381760. Its totient is φ = 113432832.

The previous prime is 225981761. The next prime is 225981823. The reversal of 225981765 is 567189522.

225981765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225981765 - 22 = 225981761 is a prime.

It is a super-2 number, since 2×2259817652 = 102135516225030450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 225981765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225981761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46939 + ... + 51528.

It is an arithmetic number, because the mean of its divisors is an integer number (13293180).

Almost surely, 2225981765 is an apocalyptic number.

It is an amenable number.

225981765 is a deficient number, since it is larger than the sum of its proper divisors (199399995).

225981765 is a wasteful number, since it uses less digits than its factorization.

225981765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98498 (or 98492 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 225981765 is about 15032.6898790602. The cubic root of 225981765 is about 609.1035520000.

The spelling of 225981765 in words is "two hundred twenty-five million, nine hundred eighty-one thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 98467 295401 492335 886203 1477005 1673939 2658609 4431015 5021817 8369695 13293045 15065451 25109085 45196353 75327255 225981765