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230023212328 = 23721379743769
BaseRepresentation
bin1101011000111001110…
…0111010110100101000
3210222201201020220012101
43112032130322310220
512232041420243303
6253400551423144
722422122021200
oct3261634726450
9728651226171
10230023212328
1189609119a78
12386b6384ab4
13188ca450880
14b1c164d400
155eb4135d1d
hex358e73ad28

230023212328 has 192 divisors, whose sum is σ = 548589888000. Its totient is φ = 89608716288.

The previous prime is 230023212323. The next prime is 230023212329. The reversal of 230023212328 is 823212320032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 230023212296 and 230023212305.

It is not an unprimeable number, because it can be changed into a prime (230023212323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299119528 + ... + 299120296.

It is an arithmetic number, because the mean of its divisors is an integer number (2857239000).

Almost surely, 2230023212328 is an apocalyptic number.

230023212328 is a gapful number since it is divisible by the number (28) 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 230023212328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274294944000).

230023212328 is an abundant number, since it is smaller than the sum of its proper divisors (318566675672).

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

230023212328 is a wasteful number, since it uses less digits than its factorization.

230023212328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 230023212328 in words is "two hundred thirty billion, twenty-three million, two hundred twelve thousand, three hundred twenty-eight".