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225660222 = 23323315861
BaseRepresentation
bin11010111001101…
…00110100111110
3120201121201122000
431130310310332
5430232111342
634220403130
75410036344
oct1534646476
9521551560
10225660222
11106419957
12636a64a6
133799cb78
1421d81994
1514c2744c
hexd734d3e

225660222 has 64 divisors (see below), whose sum is σ = 540241920. Its totient is φ = 69616800.

The previous prime is 225660203. The next prime is 225660241. The reversal of 225660222 is 222066522.

225660222 is a `hidden beast` number, since 2 + 2 + 56 + 602 + 2 + 2 = 666.

225660222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225660203) and next prime (225660241).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35572 + ... + 41432.

It is an arithmetic number, because the mean of its divisors is an integer number (8441280).

Almost surely, 2225660222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225660222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270120960).

225660222 is an abundant number, since it is smaller than the sum of its proper divisors (314581698).

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

225660222 is a wasteful number, since it uses less digits than its factorization.

225660222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 225660222 is about 15021.9912794543. The cubic root of 225660222 is about 608.8145228562.

The spelling of 225660222 in words is "two hundred twenty-five million, six hundred sixty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 93 138 186 207 279 414 558 621 713 837 1242 1426 1674 2139 4278 5861 6417 11722 12834 17583 19251 35166 38502 52749 105498 134803 158247 181691 269606 316494 363382 404409 545073 808818 1090146 1213227 1635219 2426454 3270438 3639681 4178893 4905657 7279362 8357786 9811314 12536679 25073358 37610037 75220074 112830111 225660222