Search a number
-
+
232016137320 = 233511477152673
BaseRepresentation
bin1101100000010100111…
…1010100110001101000
3211011212121021222100010
43120011033110301220
512300132112343240
6254330423011520
722522401425142
oct3300517246150
9734777258303
10232016137320
118a441074020
1238b71899ba0
1318b572bb826
14b3301c5c92
15607e09c280
hex36053d4c68

232016137320 has 256 divisors, whose sum is σ = 786418606080. Its totient is φ = 54273228800.

The previous prime is 232016137303. The next prime is 232016137321. The reversal of 232016137320 is 23731610232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (232016137321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4378504 + ... + 4431176.

It is an arithmetic number, because the mean of its divisors is an integer number (3071947680).

Almost surely, 2232016137320 is an apocalyptic number.

232016137320 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 232016137320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393209303040).

232016137320 is an abundant number, since it is smaller than the sum of its proper divisors (554402468760).

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

232016137320 is a wasteful number, since it uses less digits than its factorization.

232016137320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52816 (or 52812 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

Adding to 232016137320 its reverse (23731610232), we get a palindrome (255747747552).

The spelling of 232016137320 in words is "two hundred thirty-two billion, sixteen million, one hundred thirty-seven thousand, three hundred twenty".