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232240301040 = 243511213141281
BaseRepresentation
bin1101100001001010011…
…0011100001111110000
3211012110020002200011010
43120102212130033300
512301112004113130
6254404551350520
722531062662526
oct3302246341760
9735406080133
10232240301040
118a5466605a0
1239014982440
1318b91886497
14b351c98316
156093acb0b0
hex361299c3f0

232240301040 has 160 divisors (see below), whose sum is σ = 785782063872. Its totient is φ = 56272896000.

The previous prime is 232240301017. The next prime is 232240301057. The reversal of 232240301040 is 40103042232.

It is a junction number, because it is equal to n+sod(n) for n = 232240300998 and 232240301016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5605200 + ... + 5646480.

Almost surely, 2232240301040 is an apocalyptic number.

232240301040 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 232240301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392891031936).

232240301040 is an abundant number, since it is smaller than the sum of its proper divisors (553541762832).

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

232240301040 is a wasteful number, since it uses less digits than its factorization.

232240301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43439 (or 43433 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 232240301040 its reverse (40103042232), we get a palindrome (272343343272).

The spelling of 232240301040 in words is "two hundred thirty-two billion, two hundred forty million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2131 2640 4262 6393 8524 10655 12786 17048 21310 23441 25572 31965 34096 41281 42620 46882 51144 63930 70323 82562 85240 93764 102288 117205 123843 127860 140646 165124 170480 187528 206405 234410 247686 255720 281292 330248 351615 375056 412810 454091 468820 495372 511440 562584 619215 660496 703230 825620 908182 937640 990744 1125168 1238430 1362273 1406460 1651240 1816364 1875280 1981488 2270455 2476860 2724546 2812920 3302480 3632728 4540910 4953720 5449092 5625840 6811365 7265456 9081820 9907440 10898184 13622730 18163640 21796368 27245460 36327280 54490920 87969811 108981840 175939622 263909433 351879244 439849055 527818866 703758488 879698110 967667921 1055637732 1319547165 1407516976 1759396220 1935335842 2111275464 2639094330 2903003763 3518792440 3870671684 4222550928 4838339605 5278188660 5806007526 7037584880 7741343368 9676679210 10556377320 11612015052 14515018815 15482686736 19353358420 21112754640 23224030104 29030037630 38706716840 46448060208 58060075260 77413433680 116120150520 232240301040