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230202024 = 233131938833
BaseRepresentation
bin11011011100010…
…01101010101000
3121001011110210220
431232021222220
5432412431044
634502010040
75463453633
oct1556115250
9531143726
10230202024
11108a41208
1265116920
1338900220
1422804c1a
1515323019
hexdb89aa8

230202024 has 64 divisors (see below), whose sum is σ = 652411200. Its totient is φ = 67101696.

The previous prime is 230202023. The next prime is 230202053. The reversal of 230202024 is 420202032.

230202024 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 = 230201994 and 230202012.

It is not an unprimeable number, because it can be changed into a prime (230202023) 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, 13489 + ... + 25344.

It is an arithmetic number, because the mean of its divisors is an integer number (10193925).

Almost surely, 2230202024 is an apocalyptic number.

230202024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230202024 is an abundant number, since it is smaller than the sum of its proper divisors (422209176).

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

230202024 is a wasteful number, since it uses less digits than its factorization.

230202024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38874 (or 38870 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 230202024 is about 15172.4099601876. The cubic root of 230202024 is about 612.8719043054.

Adding to 230202024 its reverse (420202032), we get a palindrome (650404056).

The spelling of 230202024 in words is "two hundred thirty million, two hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 38833 77666 116499 155332 232998 310664 465996 504829 737827 931992 1009658 1475654 1514487 2019316 2213481 2951308 3028974 4038632 4426962 5902616 6057948 8853924 9591751 12115896 17707848 19183502 28775253 38367004 57550506 76734008 115101012 230202024