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230460351000 = 23353112719883
BaseRepresentation
bin1101011010100010000…
…0011110001000011000
3211000212011210211201120
43112220200132020120
512233440322213000
6253512205045240
722436010443025
oct3265040361030
9730764724646
10230460351000
1189812950800
12387b8856820
1318969b964c9
14b22372054c
155edc6d36a0
hex35a881e218

230460351000 has 384 divisors, whose sum is σ = 792341222400. Its totient is φ = 55728288000.

The previous prime is 230460350969. The next prime is 230460351031. The reversal of 230460351000 is 153064032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230460350969) and next prime (230460351031).

It is a super-2 number, since 2×2304603510002 (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 95 ways as a sum of consecutive naturals, for example, 260996559 + ... + 260997441.

It is an arithmetic number, because the mean of its divisors is an integer number (2063388600).

Almost surely, 2230460351000 is an apocalyptic number.

230460351000 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 230460351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396170611200).

230460351000 is an abundant number, since it is smaller than the sum of its proper divisors (561880871400).

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

230460351000 is a wasteful number, since it uses less digits than its factorization.

230460351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 230460351000 in words is "two hundred thirty billion, four hundred sixty million, three hundred fifty-one thousand".