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230202032 = 241723311187
BaseRepresentation
bin11011011100010…
…01101010110000
3121001011110211012
431232021222300
5432412431112
634502010052
75463453644
oct1556115260
9531143735
10230202032
11108a41215
1265116928
1338900228
1422804c24
1515323022
hexdb89ab0

230202032 has 80 divisors (see below), whose sum is σ = 509110272. Its totient is φ = 100193280.

The previous prime is 230202023. The next prime is 230202053.

230202032 is nontrivially palindromic in base 10.

230202032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230201998 and 230202016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193343 + ... + 194529.

Almost surely, 2230202032 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 230202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254555136).

230202032 is an abundant number, since it is smaller than the sum of its proper divisors (278908240).

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

230202032 is a wasteful number, since it uses less digits than its factorization.

230202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 230202032 is about 15172.4102238240. The cubic root of 230202032 is about 612.8719114050.

It can be divided in two parts, 23020 and 2032, that added together give a palindrome (25052).

The spelling of 230202032 in words is "two hundred thirty million, two hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 23 31 34 46 62 68 92 124 136 184 248 272 368 391 496 527 713 782 1054 1187 1426 1564 2108 2374 2852 3128 4216 4748 5704 6256 8432 9496 11408 12121 18992 20179 24242 27301 36797 40358 48484 54602 73594 80716 96968 109204 147188 161432 193936 218408 294376 322864 436816 464117 588752 625549 846331 928234 1251098 1692662 1856468 2502196 3385324 3712936 5004392 6770648 7425872 10008784 13541296 14387627 28775254 57550508 115101016 230202032