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232024032240 = 243571113965801
BaseRepresentation
bin1101100000010110110…
…1011100001111110000
3211011220011011002010120
43120011231130033300
512300141123012430
6254331304130240
722522525506330
oct3300555341760
9734804132116
10232024032240
118a445576650
1238b74466980
1318b58b24190
14b33127d0c0
15607eb0b610
hex3605b5c3f0

232024032240 has 320 divisors, whose sum is σ = 965740188672. Its totient is φ = 44504064000.

The previous prime is 232024032209. The next prime is 232024032257. The reversal of 232024032240 is 42230420232.

It is a happy number.

232024032240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 232024032240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242661 + ... + 723140.

Almost surely, 2232024032240 is an apocalyptic number.

232024032240 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 232024032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482870094336).

232024032240 is an abundant number, since it is smaller than the sum of its proper divisors (733716156432).

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

232024032240 is a wasteful number, since it uses less digits than its factorization.

232024032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965848 (or 965842 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 232024032240 its reverse (42230420232), we get a palindrome (274254452472).

The spelling of 232024032240 in words is "two hundred thirty-two billion, twenty-four million, thirty-two thousand, two hundred forty".