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232244201020 = 225133135980263
BaseRepresentation
bin1101100001001011010…
…1010100011000111100
3211012110111102210220211
43120102311110120330
512301114003413040
6254405211122204
722531141064656
oct3302265243074
9735414383824
10232244201020
118a548884717
1239016143364
1318b92620670
14b3525d16d6
1560940eb8ea
hex3612d5463c

232244201020 has 96 divisors (see below), whose sum is σ = 543689072640. Its totient is φ = 82753332480.

The previous prime is 232244200939. The next prime is 232244201029. The reversal of 232244201020 is 20102442232.

It is a junction number, because it is equal to n+sod(n) for n = 232244200982 and 232244201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232244201029) 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, 2853409 + ... + 2933671.

It is an arithmetic number, because the mean of its divisors is an integer number (5663427840).

Almost surely, 2232244201020 is an apocalyptic number.

232244201020 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 232244201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271844536320).

232244201020 is an abundant number, since it is smaller than the sum of its proper divisors (311444871620).

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

232244201020 is a wasteful number, since it uses less digits than its factorization.

232244201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80675 (or 80673 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 232244201020 its reverse (20102442232), we get a palindrome (252346643252).

The spelling of 232244201020 in words is "two hundred thirty-two billion, two hundred forty-four million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 359 403 620 718 806 1436 1612 1795 2015 3590 4030 4667 7180 8060 9334 11129 18668 22258 23335 44516 46670 55645 80263 93340 111290 144677 160526 222580 289354 321052 401315 578708 723385 802630 1043419 1446770 1605260 2086838 2488153 2893540 4173676 4976306 5217095 9952612 10434190 12440765 20868380 24881530 28814417 32345989 49763060 57628834 64691978 115257668 129383956 144072085 161729945 288144170 323459890 374587421 576288340 646919780 749174842 893246927 1498349684 1786493854 1872937105 3572987708 3745874210 4466234635 7491748420 8932469270 11612210051 17864938540 23224420102 46448840204 58061050255 116122100510 232244201020