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231230042400 = 25352717809629
BaseRepresentation
bin1101011101011001100…
…0100111000100100000
3211002211211010012211110
43113112120213010200
512242024342324100
6254120422143320
722464044634210
oct3272630470440
9732754105743
10231230042400
118a0783702a5
1238992581b40
1318a60496ac6
14b297a3a240
156035070250
hex35d6627120

231230042400 has 288 divisors, whose sum is σ = 910775456640. Its totient is φ = 49743544320.

The previous prime is 231230042357. The next prime is 231230042411. The reversal of 231230042400 is 4240032132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119215 + ... + 690414.

It is an arithmetic number, because the mean of its divisors is an integer number (3162414780).

Almost surely, 2231230042400 is an apocalyptic number.

231230042400 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 231230042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455387728320).

231230042400 is an abundant number, since it is smaller than the sum of its proper divisors (679545414240).

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

231230042400 is a wasteful number, since it uses less digits than its factorization.

231230042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809676 (or 809663 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 231230042400 its reverse (4240032132), we get a palindrome (235470074532).

The spelling of 231230042400 in words is "two hundred thirty-one billion, two hundred thirty million, forty-two thousand, four hundred".