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230225216 = 26132353227
BaseRepresentation
bin11011011100011…
…11010101000000
3121001012122121212
431232033111000
5432414201331
634502305252
75463611354
oct1556172500
9531178555
10230225216
11108a57681
1265128228
133890a950
142280d464
1515329d2b
hexdb8f540

230225216 has 112 divisors (see below), whose sum is σ = 525377664. Its totient is φ = 99280896.

The previous prime is 230225213. The next prime is 230225221. The reversal of 230225216 is 612522032.

230225216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 230225191 and 230225200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230225213) 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, 1014095 + ... + 1014321.

It is an arithmetic number, because the mean of its divisors is an integer number (4690872).

Almost surely, 2230225216 is an apocalyptic number.

230225216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262688832).

230225216 is an abundant number, since it is smaller than the sum of its proper divisors (295152448).

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

230225216 is a wasteful number, since it uses less digits than its factorization.

230225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 230225216 is about 15173.1742229502. The cubic root of 230225216 is about 612.8924851380.

Adding to 230225216 its reverse (612522032), we get a palindrome (842747248).

The spelling of 230225216 in words is "two hundred thirty million, two hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 53 64 92 104 106 184 208 212 227 299 368 416 424 454 598 689 736 832 848 908 1196 1219 1378 1472 1696 1816 2392 2438 2756 2951 3392 3632 4784 4876 5221 5512 5902 7264 9568 9752 10442 11024 11804 12031 14528 15847 19136 19504 20884 22048 23608 24062 31694 39008 41768 44096 47216 48124 63388 67873 78016 83536 94432 96248 126776 135746 156403 167072 188864 192496 253552 271492 276713 312806 334144 384992 507104 542984 553426 625612 769984 1014208 1085968 1106852 1251224 2171936 2213704 2502448 3597269 4343872 4427408 5004896 7194538 8854816 10009792 14389076 17709632 28778152 57556304 115112608 230225216