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230990362848 = 25337110934439
BaseRepresentation
bin1101011100100000011…
…0010011100011100000
3211002020010010020022000
43113020012103203200
512241032013102343
6254040541044000
722455104455050
oct3271006234340
9732203106260
10230990362848
1189a65046523
1238926256600
1318a22928a9b
14b273c89560
15601dec8ed3
hex35c81938e0

230990362848 has 192 divisors, whose sum is σ = 770684544000. Its totient is φ = 65935821312.

The previous prime is 230990362847. The next prime is 230990362853. The reversal of 230990362848 is 848263099032.

It is a happy number.

230990362848 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 9 + 0 + 3 + 628 + 4 + 8 = 666.

It is a super-2 number, since 2×2309903628482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 230990362794 and 230990362803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230990362847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6690013 + ... + 6724451.

It is an arithmetic number, because the mean of its divisors is an integer number (4013982000).

Almost surely, 2230990362848 is an apocalyptic number.

230990362848 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 230990362848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385342272000).

230990362848 is an abundant number, since it is smaller than the sum of its proper divisors (539694181152).

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

230990362848 is a wasteful number, since it uses less digits than its factorization.

230990362848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35574 (or 35560 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 230990362848 in words is "two hundred thirty billion, nine hundred ninety million, three hundred sixty-two thousand, eight hundred forty-eight".