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230311424 = 297179359
BaseRepresentation
bin11011011101001…
…00011000000000
3121001101000212202
431232210120000
5432424431144
634504212332
75464420610
oct1556443000
9531330782
10230311424
11109006422
126516a0a8
133893ac65
1422832a40
151534564e
hexdba4600

230311424 has 80 divisors (see below), whose sum is σ = 530323200. Its totient is φ = 97880064.

The previous prime is 230311387. The next prime is 230311439. The reversal of 230311424 is 424113032.

It is a junction number, because it is equal to n+sod(n) for n = 230311396 and 230311405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641357 + ... + 641715.

It is an arithmetic number, because the mean of its divisors is an integer number (6629040).

Almost surely, 2230311424 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 230311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265161600).

230311424 is an abundant number, since it is smaller than the sum of its proper divisors (300011776).

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

230311424 is an equidigital number, since it uses as much as digits as its factorization.

230311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 230311424 is about 15176.0147601404. The cubic root of 230311424 is about 612.9689749375.

Adding to 230311424 its reverse (424113032), we get a palindrome (654424456).

The spelling of 230311424 in words is "two hundred thirty million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 179 224 256 358 359 448 512 716 718 896 1253 1432 1436 1792 2506 2513 2864 2872 3584 5012 5026 5728 5744 10024 10052 11456 11488 20048 20104 22912 22976 40096 40208 45824 45952 64261 80192 80416 91648 91904 128522 160384 160832 183808 257044 320768 321664 449827 514088 641536 643328 899654 1028176 1286656 1799308 2056352 3598616 4112704 7197232 8225408 14394464 16450816 28788928 32901632 57577856 115155712 230311424