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225297198 = 232721571627
BaseRepresentation
bin11010110110111…
…00001100101110
3120200221021122200
431123130030232
5430134002243
634204522330
75403665100
oct1533341456
9520837580
10225297198
111061a1135
12635503a6
13378a3869
1421cc9570
1514ba4ad3
hexd6dc32e

225297198 has 72 divisors (see below), whose sum is σ = 571808952. Its totient is φ = 63921312.

The previous prime is 225297197. The next prime is 225297203. The reversal of 225297198 is 891792522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225297197) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137661 + ... + 139287.

It is an arithmetic number, because the mean of its divisors is an integer number (7941791).

Almost surely, 2225297198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225297198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285904476).

225297198 is an abundant number, since it is smaller than the sum of its proper divisors (346511754).

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

225297198 is a wasteful number, since it uses less digits than its factorization.

225297198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1796 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 225297198 is about 15009.9033308013. The cubic root of 225297198 is about 608.4878770344.

The spelling of 225297198 in words is "two hundred twenty-five million, two hundred ninety-seven thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 157 294 314 441 471 882 942 1099 1413 1627 2198 2826 3254 3297 4881 6594 7693 9762 9891 11389 14643 15386 19782 22778 23079 29286 34167 46158 68334 69237 79723 102501 138474 159446 205002 239169 255439 478338 510878 717507 766317 1435014 1532634 1788073 2298951 3576146 4597902 5364219 10728438 12516511 16092657 25033022 32185314 37549533 75099066 112648599 225297198