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230463714000 = 243531310927107
BaseRepresentation
bin1101011010100010110…
…1010011001011010000
3211000212102010200220010
43112220231103023100
512233442202322000
6253512405114520
722436051150502
oct3265055231320
9730772120803
10230463714000
1189814838443
12387b99b8a40
131896a7a3150
14b223d57d72
155edcb49d50
hex35a8b532d0

230463714000 has 320 divisors, whose sum is σ = 807540814080. Its totient is φ = 56207001600.

The previous prime is 230463713981. The next prime is 230463714049. The reversal of 230463714000 is 417364032.

It is a super-2 number, since 2×2304637140002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8488447 + ... + 8515553.

It is an arithmetic number, because the mean of its divisors is an integer number (2523565044).

Almost surely, 2230463714000 is an apocalyptic number.

230463714000 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 230463714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403770407040).

230463714000 is an abundant number, since it is smaller than the sum of its proper divisors (577077100080).

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

230463714000 is a wasteful number, since it uses less digits than its factorization.

230463714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27255 (or 27239 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 230463714000 in words is "two hundred thirty billion, four hundred sixty-three million, seven hundred fourteen thousand".