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232012033000 = 23531121299907
BaseRepresentation
bin1101100000010011111…
…1101010101111101000
3211011212022120110021021
43120010333222233220
512300130040024000
6254330155022224
722522321512166
oct3300477525750
9734768513237
10232012033000
118a439820420
1238b7043a974
1318b564b2637
14b32d838236
15607da3b11a
hex3604feabe8

232012033000 has 128 divisors (see below), whose sum is σ = 592601443200. Its totient is φ = 84319872000.

The previous prime is 232012032997. The next prime is 232012033003. The reversal of 232012033000 is 330210232.

It is an interprime number because it is at equal distance from previous prime (232012032997) and next prime (232012033003).

It is a super-3 number, since 3×2320120330003 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (232012033003) 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, 23414047 + ... + 23423953.

It is an arithmetic number, because the mean of its divisors is an integer number (4629698775).

Almost surely, 2232012033000 is an apocalyptic number.

232012033000 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 232012033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296300721600).

232012033000 is an abundant number, since it is smaller than the sum of its proper divisors (360589410200).

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

232012033000 is a wasteful number, since it uses less digits than its factorization.

232012033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12068 (or 12054 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 232012033000 its reverse (330210232), we get a palindrome (232342243232).

The spelling of 232012033000 in words is "two hundred thirty-two billion, twelve million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2129 2200 2750 4258 5500 8516 9907 10645 11000 17032 19814 21290 23419 39628 42580 46838 49535 53225 79256 85160 93676 99070 106450 108977 117095 187352 198140 212900 217954 234190 247675 266125 396280 425800 435908 468380 495350 532250 544885 585475 871816 936760 990700 1064500 1089770 1170950 1238375 1981400 2129000 2179540 2341900 2476750 2724425 2927375 4359080 4683800 4953500 5448850 5854750 9907000 10897700 11709500 13622125 21092003 21795400 23419000 27244250 42184006 54488500 84368012 105460015 108977000 168736024 210920030 232012033 421840060 464024066 527300075 843680120 928048132 1054600150 1160060165 1856096264 2109200300 2320120330 2636500375 4218400600 4640240660 5273000750 5800300825 9280481320 10546001500 11600601650 21092003000 23201203300 29001504125 46402406600 58003008250 116006016500 232012033000