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232321020144 = 24373237727893
BaseRepresentation
bin1101100001011101101…
…0010111000011110000
3211012122211222121221120
43120113122113003300
512301243140121034
6254420553422240
722533063042303
oct3302732270360
9735584877846
10232321020144
118a588182aa4
1239037a0a980
1318ba5508c75
14b35c8aab3a
15609ac22c49
hex36176970f0

232321020144 has 80 divisors (see below), whose sum is σ = 608661808032. Its totient is φ = 76344643584.

The previous prime is 232321020133. The next prime is 232321020157. The reversal of 232321020144 is 441020123232.

It is a happy number.

232321020144 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 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 15 ways as a sum of consecutive naturals, for example, 8315062 + ... + 8342954.

Almost surely, 2232321020144 is an apocalyptic number.

232321020144 is a gapful number since it is divisible by the number (24) 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 232321020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304330904016).

232321020144 is an abundant number, since it is smaller than the sum of its proper divisors (376340787888).

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

232321020144 is a wasteful number, since it uses less digits than its factorization.

232321020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30354 (or 30348 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 232321020144 its reverse (441020123232), we get a palindrome (673341143376).

The spelling of 232321020144 in words is "two hundred thirty-two billion, three hundred twenty-one million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 2377 3504 4754 7131 9508 14262 19016 27893 28524 38032 55786 57048 83679 111572 114096 167358 173521 223144 334716 347042 446288 520563 669432 694084 1041126 1338864 1388168 2036189 2082252 2776336 4072378 4164504 6108567 8144756 8329008 12217134 16289512 24434268 32579024 48868536 66301661 97737072 132603322 198904983 265206644 397809966 530413288 795619932 1060826576 1591239864 3182479728 4840021253 9680042506 14520063759 19360085012 29040127518 38720170024 58080255036 77440340048 116160510072 232321020144