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225289232 = 24719234603
BaseRepresentation
bin11010110110110…
…10010000010000
3120200220212201122
431123122100100
5430133223412
634204421412
75403632630
oct1533322020
9520825648
10225289232
11106196153
1263547868
13378a004c
1421cc66c0
1514ba2572
hexd6da410

225289232 has 80 divisors (see below), whose sum is σ = 548060160. Its totient is φ = 87474816.

The previous prime is 225289231. The next prime is 225289241. The reversal of 225289232 is 232982522.

It is a junction number, because it is equal to n+sod(n) for n = 225289192 and 225289201.

It is not an unprimeable number, because it can be changed into a prime (225289231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46643 + ... + 51245.

It is an arithmetic number, because the mean of its divisors is an integer number (6850752).

Almost surely, 2225289232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225289232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274030080).

225289232 is an abundant number, since it is smaller than the sum of its proper divisors (322770928).

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

225289232 is a wasteful number, since it uses less digits than its factorization.

225289232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4660 (or 4654 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 225289232 is about 15009.6379703176. The cubic root of 225289232 is about 608.4807053642.

The spelling of 225289232 in words is "two hundred twenty-five million, two hundred eighty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 23 28 38 46 56 76 92 112 133 152 161 184 266 304 322 368 437 532 644 874 1064 1288 1748 2128 2576 3059 3496 4603 6118 6992 9206 12236 18412 24472 32221 36824 48944 64442 73648 87457 105869 128884 174914 211738 257768 349828 423476 515536 612199 699656 741083 846952 1224398 1399312 1482166 1693904 2011511 2448796 2964332 4023022 4897592 5928664 8046044 9795184 11857328 14080577 16092088 28161154 32184176 56322308 112644616 225289232