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22232250 = 2325341241
BaseRepresentation
bin101010011001…
…1110010111010
31112211111220200
41110303302322
521142413000
62112303030
7356654025
oct124636272
945744820
1022232250
1111605467
127541a76
1347b54a1
142d4a1bc
151e42500
hex1533cba

22232250 has 96 divisors (see below), whose sum is σ = 61837776. Its totient is φ = 5760000.

The previous prime is 22232233. The next prime is 22232257. The reversal of 22232250 is 5223222.

It can be written as a sum of positive squares in 8 ways, for example, as 19881 + 22212369 = 141^2 + 4713^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22232257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92130 + ... + 92370.

Almost surely, 222232250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22232250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30918888).

22232250 is an abundant number, since it is smaller than the sum of its proper divisors (39605526).

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

22232250 is a wasteful number, since it uses less digits than its factorization.

22232250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22232250 is about 4715.1086943993. The cubic root of 22232250 is about 281.1865041846.

Adding to 22232250 its reverse (5223222), we get a palindrome (27455472).

Subtracting from 22232250 its reverse (5223222), we obtain a triangular number (17009028 = T5832).

The spelling of 22232250 in words is "twenty-two million, two hundred thirty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 125 150 205 225 241 246 250 369 375 410 450 482 615 723 738 750 1025 1125 1205 1230 1446 1845 2050 2169 2250 2410 3075 3615 3690 4338 5125 6025 6150 7230 9225 9881 10250 10845 12050 15375 18075 18450 19762 21690 29643 30125 30750 36150 46125 49405 54225 59286 60250 88929 90375 92250 98810 108450 148215 177858 180750 247025 271125 296430 444645 494050 542250 741075 889290 1235125 1482150 2223225 2470250 3705375 4446450 7410750 11116125 22232250