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225351666 = 23319239919
BaseRepresentation
bin11010110111010…
…01011111110010
3120201001001101000
431123221133302
5430142223131
634210022430
75404312641
oct1533513762
9521031330
10225351666
11106229051
1263577a16
13378c25a7
1421d01358
1514bb5ce6
hexd6e97f2

225351666 has 64 divisors (see below), whose sum is σ = 529920000. Its totient is φ = 70788816.

The previous prime is 225351653. The next prime is 225351667. The reversal of 225351666 is 666153522.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225351666.

It is not an unprimeable number, because it can be changed into a prime (225351667) 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, 244755 + ... + 245673.

It is an arithmetic number, because the mean of its divisors is an integer number (8280000).

Almost surely, 2225351666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225351666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264960000).

225351666 is an abundant number, since it is smaller than the sum of its proper divisors (304568334).

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

225351666 is a wasteful number, since it uses less digits than its factorization.

225351666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 225351666 is about 15011.7176232435. The cubic root of 225351666 is about 608.5369092275.

The spelling of 225351666 in words is "two hundred twenty-five million, three hundred fifty-one thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 239 342 478 513 717 919 1026 1434 1838 2151 2757 4302 4541 5514 6453 8271 9082 12906 13623 16542 17461 24813 27246 34922 40869 49626 52383 81738 104766 122607 157149 219641 245214 314298 439282 471447 658923 942894 1317846 1976769 3953538 4173179 5930307 8346358 11860614 12519537 25039074 37558611 75117222 112675833 225351666