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230480640000 = 21136541319
BaseRepresentation
bin1101011010100110110…
…1110111100000000000
3211000220120222122000000
43112221231313200000
512234011020440000
6253514212000000
722436345054442
oct3265155674000
9730816878000
10230480640000
1189823349176
1238803600000
131897114b330
14b2262c2492
155ede390000
hex35a9b77800

230480640000 has 1680 divisors, whose sum is σ = 978775597800. Its totient is φ = 53747712000.

The previous prime is 230480639971. The next prime is 230480640041. The reversal of 230480640000 is 46084032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 12130559991 + ... + 12130560009.

Almost surely, 2230480640000 is an apocalyptic number.

230480640000 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 230480640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489387798900).

230480640000 is an abundant number, since it is smaller than the sum of its proper divisors (748294957800).

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

230480640000 is an frugal number, since it uses more digits than its factorization.

230480640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 230480640000 in words is "two hundred thirty billion, four hundred eighty million, six hundred forty thousand".