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230700624 = 243721137241
BaseRepresentation
bin11011100000000…
…11011001010000
3121002002210202120
431300003121100
5433024404444
634520414240
75500631400
oct1560033120
9532083676
10230700624
11109251880
1265317380
1338a4615b
14228d4800
15153c0b19
hexdc03650

230700624 has 240 divisors, whose sum is σ = 779967936. Its totient is φ = 58060800.

The previous prime is 230700623. The next prime is 230700637. The reversal of 230700624 is 426007032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230700594 and 230700603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230700623) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 957144 + ... + 957384.

Almost surely, 2230700624 is an apocalyptic number.

230700624 is a gapful number since it is divisible by the number (24) 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 230700624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389983968).

230700624 is an abundant number, since it is smaller than the sum of its proper divisors (549267312).

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

230700624 is a wasteful number, since it uses less digits than its factorization.

230700624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 230700624 is about 15188.8322131756. The cubic root of 230700624 is about 613.3140631417.

Adding to 230700624 its reverse (426007032), we get a palindrome (656707656).

The spelling of 230700624 in words is "two hundred thirty million, seven hundred thousand, six hundred twenty-four".