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232201202102232 = 233112376721226199
BaseRepresentation
bin110100110010111110001110…
…001010101110111111011000
31010110011012220000102110202220
4310302332032022232333120
5220413341030214232412
62141503432025024040
766623661152121246
oct6462761612567730
91113135800373686
10232201202102232
1167a93a82128600
1222062194925020
139c7463033094c
14414a85345b796
151bca145abd68c
hexd32f8e2aefd8

232201202102232 has 96 divisors (see below), whose sum is σ = 638242966368000. Its totient is φ = 70345318267840.

The previous prime is 232201202102203. The next prime is 232201202102249.

232201202102232 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326269 + ... + 21552467.

It is an arithmetic number, because the mean of its divisors is an integer number (6648364233000).

Almost surely, 2232201202102232 is an apocalyptic number.

232201202102232 is a gapful number since it is divisible by the number (22) 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 232201202102232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319121483184000).

232201202102232 is an abundant number, since it is smaller than the sum of its proper divisors (406041764265768).

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

232201202102232 is a wasteful number, since it uses less digits than its factorization.

232201202102232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21229997 (or 21229982 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 23220120 and 2102232, that added together give a palindrome (25322352).

The spelling of 232201202102232 in words is "two hundred thirty-two trillion, two hundred one billion, two hundred two million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 3767 7534 11301 15068 22602 30136 41437 45204 82874 90408 124311 165748 248622 331496 455807 497244 911614 994488 1367421 1823228 2734842 3646456 5469684 10939368 21226199 42452398 63678597 84904796 127357194 169809592 233488189 254714388 466976378 509428776 700464567 933952756 1400929134 1867905512 2568370079 2801858268 5136740158 5603716536 7705110237 10273480316 15410220474 20546960632 30820440948 61640881896 79959091633 159918183266 239877274899 319836366532 479754549798 639672733064 879550007963 959509099596 1759100015926 1919018199192 2638650023889 3518200031852 5277300047778 7036400063704 9675050087593 10554600095556 19350100175186 21109200191112 29025150262779 38700200350372 58050300525558 77400400700744 116100601051116 232201202102232