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232244133020 = 225293726341149
BaseRepresentation
bin1101100001001011010…
…1000011110010011100
3211012110111022100122022
43120102311003302130
512301113444224040
6254405205435312
722531140362504
oct3302265036234
9735414270568
10232244133020
118a548838619
123901610bb38
1318b925c8723
14b3525b4a04
1560940d66b5
hex3612d43c9c

232244133020 has 96 divisors (see below), whose sum is σ = 520149168000. Its totient is φ = 86936177664.

The previous prime is 232244133001. The next prime is 232244133041. The reversal of 232244133020 is 20331442232.

It is a super-2 number, since 2×2322441330202 (a number of 24 digits) contains 22 as substring.

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, 5623406 + ... + 5664554.

It is an arithmetic number, because the mean of its divisors is an integer number (5418220500).

Almost surely, 2232244133020 is an apocalyptic number.

232244133020 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 232244133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260074584000).

232244133020 is an abundant number, since it is smaller than the sum of its proper divisors (287905034980).

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

232244133020 is a wasteful number, since it uses less digits than its factorization.

232244133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41487 (or 41485 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 232244133020 its reverse (20331442232), we get a palindrome (252575575252).

The spelling of 232244133020 in words is "two hundred thirty-two billion, two hundred forty-four million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 263 290 370 526 580 740 1052 1073 1315 2146 2630 4292 5260 5365 7627 9731 10730 15254 19462 21460 30508 38135 38924 41149 48655 76270 82298 97310 152540 164596 194620 205745 282199 411490 564398 822980 1128796 1193321 1410995 1522513 2386642 2821990 3045026 4773284 5643980 5966605 6090052 7612565 10822187 11933210 15225130 21644374 23866420 30450260 43288748 44152877 54110935 88305754 108221870 176611508 216443740 220764385 313843423 400420919 441528770 627686846 800841838 883057540 1255373692 1569217115 1601683676 2002104595 3138434230 4004209190 6276868460 8008418380 11612206651 23224413302 46448826604 58061033255 116122066510 232244133020