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225301232 = 24132941911
BaseRepresentation
bin11010110110111…
…01001011110000
3120200221111012002
431123131023300
5430134114412
634204553132
75404012622
oct1533351360
9520844162
10225301232
111061a4172
12635527a8
13378a5650
1421ccac12
1514ba5dc2
hexd6dd2f0

225301232 has 80 divisors (see below), whose sum is σ = 498718080. Its totient is φ = 97843200.

The previous prime is 225301231. The next prime is 225301249. The reversal of 225301232 is 232103522.

225301232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225301231) 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, 246857 + ... + 247767.

It is an arithmetic number, because the mean of its divisors is an integer number (6233976).

Almost surely, 2225301232 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 225301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249359040).

225301232 is an abundant number, since it is smaller than the sum of its proper divisors (273416848).

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

225301232 is a wasteful number, since it uses less digits than its factorization.

225301232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 225301232 is about 15010.0377081472. The cubic root of 225301232 is about 608.4915087195.

Adding to 225301232 its reverse (232103522), we get a palindrome (457404754).

The spelling of 225301232 in words is "two hundred twenty-five million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 41 52 58 82 104 116 164 208 232 328 377 464 533 656 754 911 1066 1189 1508 1822 2132 2378 3016 3644 4264 4756 6032 7288 8528 9512 11843 14576 15457 19024 23686 26419 30914 37351 47372 52838 61828 74702 94744 105676 123656 149404 189488 211352 247312 298808 343447 422704 485563 597616 686894 971126 1083179 1373788 1942252 2166358 2747576 3884504 4332716 5495152 7769008 8665432 14081327 17330864 28162654 56325308 112650616 225301232