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230371680000 = 2835471123271
BaseRepresentation
bin1101011010001100111…
…0001101111100000000
3211000121222221212222110
43112203032031330000
512233300122230000
6253455320335320
722433552654010
oct3264316157400
9730558855873
10230371680000
1189777897990
1238793014540
13189546bb467
14b215a3bc40
155ed4a1a850
hex35a338df00

230371680000 has 1440 divisors, whose sum is σ = 1000422162432. Its totient is φ = 45619200000.

The previous prime is 230371679999. The next prime is 230371680013. The reversal of 230371680000 is 86173032.

It is a super-2 number, since 2×2303716800002 (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 self number, because there is not a number n which added to its sum of digits gives 230371680000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 850079865 + ... + 850080135.

Almost surely, 2230371680000 is an apocalyptic number.

230371680000 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 230371680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500211081216).

230371680000 is an abundant number, since it is smaller than the sum of its proper divisors (770050482432).

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

230371680000 is a wasteful number, since it uses less digits than its factorization.

230371680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 230371680000 in words is "two hundred thirty billion, three hundred seventy-one million, six hundred eighty thousand".