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230321520 = 2432511132237
BaseRepresentation
bin11011011101001…
…10110101110000
3121001101112201200
431232212311300
5432430242040
634504331200
75464462212
oct1556466560
9531345650
10230321520
11109012a70
1265173b00
1338942730
14228365b2
1515348630
hexdba6d70

230321520 has 240 divisors, whose sum is σ = 909129312. Its totient is φ = 51517440.

The previous prime is 230321501. The next prime is 230321551. The reversal of 230321520 is 25123032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2303215202 = 106096005150220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230321493 and 230321502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101842 + ... + 104078.

Almost surely, 2230321520 is an apocalyptic number.

230321520 is a gapful number since it is divisible by the number (20) 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 230321520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454564656).

230321520 is an abundant number, since it is smaller than the sum of its proper divisors (678807792).

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

230321520 is a wasteful number, since it uses less digits than its factorization.

230321520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230321520 is about 15176.3473866408. The cubic root of 230321520 is about 612.9779315700.

Adding to 230321520 its reverse (25123032), we get a palindrome (255444552).

The spelling of 230321520 in words is "two hundred thirty million, three hundred twenty-one thousand, five hundred twenty".