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230123332320 = 25357483114177
BaseRepresentation
bin1101011001010001101…
…0110110001011100000
3210222222200122112000020
43112110122312023200
512232243033113240
6253414525353440
722424446023210
oct3262432661340
9728880575006
10230123332320
118965a692672
1238723a08880
1318915106b7b
14b1d0a72240
155ebcd110d0
hex35946b62e0

230123332320 has 192 divisors, whose sum is σ = 828673929216. Its totient is φ = 52585021440.

The previous prime is 230123332303. The next prime is 230123332349. The reversal of 230123332320 is 23233321032.

It is a super-2 number, since 2×2301233323202 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16225072 + ... + 16239248.

It is an arithmetic number, because the mean of its divisors is an integer number (4316010048).

Almost surely, 2230123332320 is an apocalyptic number.

230123332320 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 230123332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414336964608).

230123332320 is an abundant number, since it is smaller than the sum of its proper divisors (598550596896).

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

230123332320 is a wasteful number, since it uses less digits than its factorization.

230123332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19033 (or 19025 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 230123332320 its reverse (23233321032), we get a palindrome (253356653352).

The spelling of 230123332320 in words is "two hundred thirty billion, one hundred twenty-three million, three hundred thirty-two thousand, three hundred twenty".