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232609214040 = 233572291209239
BaseRepresentation
bin1101100010100010010…
…1101110111001011000
3211020101221021101122120
43120220211232321120
512302340424322130
6254505330421240
722543162460610
oct3305045567130
9736357241576
10232609214040
118a715923375
12390b8431820
1318c201320b8
14b388c89a40
1560b619d910
hex362896ee58

232609214040 has 128 divisors (see below), whose sum is σ = 801000576000. Its totient is φ = 52935602688.

The previous prime is 232609214039. The next prime is 232609214041. The reversal of 232609214040 is 40412906232.

232609214040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232609214039) and next prime (232609214041).

It is a junction number, because it is equal to n+sod(n) for n = 232609213992 and 232609214010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232609214041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 412260 + ... + 796979.

It is an arithmetic number, because the mean of its divisors is an integer number (6257817000).

Almost surely, 2232609214040 is an apocalyptic number.

232609214040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232609214040 is an abundant number, since it is smaller than the sum of its proper divisors (568391361960).

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

232609214040 is a wasteful number, since it uses less digits than its factorization.

232609214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209489 (or 1209485 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 232609214040 in words is "two hundred thirty-two billion, six hundred nine million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 229 280 420 458 687 840 916 1145 1374 1603 1832 2290 2748 3206 3435 4580 4809 5496 6412 6870 8015 9160 9618 12824 13740 16030 19236 24045 27480 32060 38472 48090 64120 96180 192360 1209239 2418478 3627717 4836956 6046195 7255434 8464673 9673912 12092390 14510868 16929346 18138585 24184780 25394019 29021736 33858692 36277170 42323365 48369560 50788038 67717384 72554340 84646730 101576076 126970095 145108680 169293460 203152152 253940190 276915731 338586920 507880380 553831462 830747193 1015760760 1107662924 1384578655 1661494386 1938410117 2215325848 2769157310 3322988772 3876820234 4153735965 5538314620 5815230351 6645977544 7753640468 8307471930 9692050585 11076629240 11630460702 15507280936 16614943860 19384101170 23260921404 29076151755 33229887720 38768202340 46521842808 58152303510 77536404680 116304607020 232609214040