Search a number
-
+
230245341480 = 233457211314253
BaseRepresentation
bin1101011001101110110…
…0010001100100101000
3211000022012020020010000
43112123230101210220
512233020301411410
6253435004423000
722430460053100
oct3263354214450
9730265206100
10230245341480
1189712546990
1238758847a60
131893448543b
14b202d52200
155ec88b1dc0
hex359bb11928

230245341480 has 960 divisors, whose sum is σ = 1013984801280. Its totient is φ = 46288972800.

The previous prime is 230245341451. The next prime is 230245341493. The reversal of 230245341480 is 84143542032.

230245341480 is a `hidden beast` number, since 2 + 30 + 2 + 4 + 534 + 14 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 54135034 + ... + 54139286.

It is an arithmetic number, because the mean of its divisors is an integer number (1056234168).

Almost surely, 2230245341480 is an apocalyptic number.

230245341480 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 230245341480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506992400640).

230245341480 is an abundant number, since it is smaller than the sum of its proper divisors (783739459800).

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

230245341480 is a wasteful number, since it uses less digits than its factorization.

230245341480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 230245341480 in words is "two hundred thirty billion, two hundred forty-five million, three hundred forty-one thousand, four hundred eighty".