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230756766240 = 25357211131923157
BaseRepresentation
bin1101011011101000101…
…1001101001000100000
3211001121211120021222210
43112322023031020200
512240042213004430
6254001434202120
722446240102300
oct3267213151040
9731554507883
10230756766240
11899551a6980
123887bb83340
13189b640a740
14b250c3d600
1560087352b0
hex35ba2cd220

230756766240 has 2304 divisors, whose sum is σ = 1098080686080. Its totient is φ = 39852933120.

The previous prime is 230756766199. The next prime is 230756766271. The reversal of 230756766240 is 42667657032.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 230756766240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1469788242 + ... + 1469788398.

It is an arithmetic number, because the mean of its divisors is an integer number (476597520).

Almost surely, 2230756766240 is an apocalyptic number.

230756766240 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 230756766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549040343040).

230756766240 is an abundant number, since it is smaller than the sum of its proper divisors (867323919840).

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

230756766240 is a wasteful number, since it uses less digits than its factorization.

230756766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 230756766240 in words is "two hundred thirty billion, seven hundred fifty-six million, seven hundred sixty-six thousand, two hundred forty".