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230235324 = 2231110716301
BaseRepresentation
bin11011011100100…
…01110010111100
3121001020011111020
431232101302330
5432420012244
634502424140
75463653004
oct1556216274
9531204436
10230235324
11108a64230
1265132050
1338912427
1422813004
151532cd19
hexdb91cbc

230235324 has 48 divisors (see below), whose sum is σ = 591566976. Its totient is φ = 69112000.

The previous prime is 230235307. The next prime is 230235329. The reversal of 230235324 is 423532032.

It is a junction number, because it is equal to n+sod(n) for n = 230235294 and 230235303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230235329) 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, 5974 + ... + 22274.

It is an arithmetic number, because the mean of its divisors is an integer number (12324312).

Almost surely, 2230235324 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 230235324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295783488).

230235324 is an abundant number, since it is smaller than the sum of its proper divisors (361331652).

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

230235324 is a wasteful number, since it uses less digits than its factorization.

230235324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16426 (or 16424 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 230235324 is about 15173.5073071456. The cubic root of 230235324 is about 612.9014546544.

Adding to 230235324 its reverse (423532032), we get a palindrome (653767356).

The spelling of 230235324 in words is "two hundred thirty million, two hundred thirty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 7062 14124 16301 32602 48903 65204 97806 179311 195612 358622 537933 717244 1075866 1744207 2151732 3488414 5232621 6976828 10465242 19186277 20930484 38372554 57558831 76745108 115117662 230235324