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230272577920 = 27571117274867
BaseRepresentation
bin1101011001110101010…
…0001011000110000000
3211000101002110222111001
43112131110023012000
512233044234443140
6253441420301344
722431240421450
oct3263524130600
9730332428431
10230272577920
118972695a040
12387659a1854
131893a000588
14b206801d60
155ecae91e9a
hex359d50b180

230272577920 has 256 divisors, whose sum is σ = 726707013120. Its totient is φ = 67551068160.

The previous prime is 230272577917. The next prime is 230272577921. The reversal of 230272577920 is 29775272032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230272577921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700327 + ... + 975193.

It is an arithmetic number, because the mean of its divisors is an integer number (2838699270).

Almost surely, 2230272577920 is an apocalyptic number.

230272577920 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 230272577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363353506560).

230272577920 is an abundant number, since it is smaller than the sum of its proper divisors (496434435200).

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

230272577920 is a wasteful number, since it uses less digits than its factorization.

230272577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274921 (or 274909 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 46.

The spelling of 230272577920 in words is "two hundred thirty billion, two hundred seventy-two million, five hundred seventy-seven thousand, nine hundred twenty".