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232023441340 = 225313753190837
BaseRepresentation
bin1101100000010110101…
…1001011111110111100
3211011220010001001120101
43120011223023332330
512300141000110330
6254331243330444
722522520465515
oct3300553137674
9734803031511
10232023441340
118a4452026a9
1238b74220a24
1318b58978232
14b331167a0c
15607ea414ca
hex3605acbfbc

232023441340 has 96 divisors (see below), whose sum is σ = 526309830144. Its totient is φ = 85738798080.

The previous prime is 232023441329. The next prime is 232023441341. The reversal of 232023441340 is 43144320232.

It is a junction number, because it is equal to n+sod(n) for n = 232023441299 and 232023441308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232023441341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120402 + ... + 1311238.

It is an arithmetic number, because the mean of its divisors is an integer number (5482394064).

Almost surely, 2232023441340 is an apocalyptic number.

232023441340 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 232023441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263154915072).

232023441340 is an abundant number, since it is smaller than the sum of its proper divisors (294286388804).

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

232023441340 is a wasteful number, since it uses less digits than its factorization.

232023441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190967 (or 190965 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 232023441340 its reverse (43144320232), we get a palindrome (275167761572).

The spelling of 232023441340 in words is "two hundred thirty-two billion, twenty-three million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 37 53 62 74 106 124 148 155 185 212 265 310 370 530 620 740 1060 1147 1643 1961 2294 3286 3922 4588 5735 6572 7844 8215 9805 11470 16430 19610 22940 32860 39220 60791 121582 190837 243164 303955 381674 607910 763348 954185 1215820 1908370 3816740 5915947 7060969 10114361 11831894 14121938 20228722 23663788 28243876 29579735 35304845 40457444 50571805 59159470 70609690 101143610 118318940 141219380 202287220 218890039 313545191 374231357 437780078 627090382 748462714 875560156 1094450195 1254180764 1496925428 1567725955 1871156785 2188900390 3135451910 3742313570 4377800780 6270903820 7484627140 11601172067 23202344134 46404688268 58005860335 116011720670 232023441340