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232020332040 = 23357318910151
BaseRepresentation
bin1101100000010101111…
…1010100111000001000
3211011212220012002102010
43120011133110320020
512300134201111130
6254331052535520
722522452165510
oct3300537247010
9734786162363
10232020332040
118a443479632
1238b731815a0
1318b58129c03
14b330998840
15607e62a0b0
hex36057d4e08

232020332040 has 128 divisors (see below), whose sum is σ = 821159608320. Its totient is φ = 51322464000.

The previous prime is 232020331997. The next prime is 232020332041. The reversal of 232020332040 is 40233020232.

232020332040 is digitally balanced in base 3, 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 232020331998 and 232020332016.

It is not an unprimeable number, because it can be changed into a prime (232020332041) 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 31 ways as a sum of consecutive naturals, for example, 4429036 + ... + 4481115.

It is an arithmetic number, because the mean of its divisors is an integer number (6415309440).

Almost surely, 2232020332040 is an apocalyptic number.

232020332040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232020332040 is an abundant number, since it is smaller than the sum of its proper divisors (589139276280).

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

232020332040 is a wasteful number, since it uses less digits than its factorization.

232020332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8910203 (or 8910199 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 232020332040 its reverse (40233020232), we get a palindrome (272253352272).

The spelling of 232020332040 in words is "two hundred thirty-two billion, twenty million, three hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 8910151 17820302 26730453 35640604 44550755 53460906 62371057 71281208 89101510 106921812 124742114 133652265 178203020 187113171 213843624 249484228 267304530 276214681 311855285 356406040 374226342 498968456 534609060 552429362 623710570 748452684 828644043 935565855 1069218120 1104858724 1247421140 1381073405 1496905368 1657288086 1871131710 1933502767 2209717448 2494842280 2762146810 3314576172 3742263420 3867005534 4143220215 5524293620 5800508301 6629152344 7484526840 7734011068 8286440430 9667513835 11048587240 11601016602 15468022136 16572880860 19335027670 23202033204 29002541505 33145761720 38670055340 46404066408 58005083010 77340110680 116010166020 232020332040