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232033023240 = 233516382114449
BaseRepresentation
bin1101100000011000111…
…1101111010100001000
3211011220210001212110120
43120012033233110020
512300200423220430
6254332224543240
722522665104214
oct3300617572410
9734823055416
10232033023240
118a44a657727
1238b77481b20
1318b5a9516b5
14b33253d944
1560807d5610
hex36063ef508

232033023240 has 128 divisors (see below), whose sum is σ = 701271216000. Its totient is φ = 61416714240.

The previous prime is 232033023221. The next prime is 232033023253. The reversal of 232033023240 is 42320330232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 232033023240.

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, 16051536 + ... + 16065984.

It is an arithmetic number, because the mean of its divisors is an integer number (5478681375).

Almost surely, 2232033023240 is an apocalyptic number.

232033023240 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 232033023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350635608000).

232033023240 is an abundant number, since it is smaller than the sum of its proper divisors (469238192760).

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

232033023240 is a wasteful number, since it uses less digits than its factorization.

232033023240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15447 (or 15443 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 232033023240 its reverse (42320330232), we get a palindrome (274353353472).

The spelling of 232033023240 in words is "two hundred thirty-two billion, thirty-three million, twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 821 978 1304 1630 1642 1956 2445 2463 3260 3284 3912 4105 4890 4926 6520 6568 8210 9780 9852 12315 14449 16420 19560 19704 24630 28898 32840 43347 49260 57796 72245 86694 98520 115592 133823 144490 173388 216735 267646 288980 346776 401469 433470 535292 577960 669115 802938 866940 1070584 1338230 1605876 1733880 2007345 2355187 2676460 3211752 4014690 4710374 5352920 7065561 8029380 9420748 11775935 11862629 14131122 16058760 18841496 23551870 23725258 28262244 35327805 35587887 47103740 47450516 56524488 59313145 70655610 71175774 94207480 94901032 118626290 141311220 142351548 177939435 237252580 282622440 284703096 355878870 474505160 711757740 1423515480 1933608527 3867217054 5800825581 7734434108 9668042635 11601651162 15468868216 19336085270 23203302324 29004127905 38672170540 46406604648 58008255810 77344341080 116016511620 232033023240