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230453460300 = 2235271737174467
BaseRepresentation
bin1101011010100000011…
…0001011110101001100
3211000211200211202110110
43112220012023311030
512233432041212200
6253511401240020
722435565043360
oct3265006136514
9730750752413
10230453460300
1189809a74708
12387b6493010
1318968622c7b
14b2228492a0
155edbcc1b50
hex35a818bd4c

230453460300 has 288 divisors, whose sum is σ = 828669961728. Its totient is φ = 48236359680.

The previous prime is 230453460277. The next prime is 230453460301. The reversal of 230453460300 is 3064354032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (230453460301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1233667 + ... + 1408133.

It is an arithmetic number, because the mean of its divisors is an integer number (2877326256).

Almost surely, 2230453460300 is an apocalyptic number.

230453460300 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 230453460300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414334980864).

230453460300 is an abundant number, since it is smaller than the sum of its proper divisors (598216501428).

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

230453460300 is a wasteful number, since it uses less digits than its factorization.

230453460300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174545 (or 174538 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 230453460300 in words is "two hundred thirty billion, four hundred fifty-three million, four hundred sixty thousand, three hundred".