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232204041140 = 225314379110251
BaseRepresentation
bin1101100001000001110…
…0000111101110110100
3211012100200212110220212
43120100130013232310
512301023213304030
6254401214244552
722530142532531
oct3302034075664
9735320773825
10232204041140
118a528144a35
12390047b6758
1318b871cc116
14b34b139d88
156090817595
hex3610707bb4

232204041140 has 96 divisors (see below), whose sum is σ = 521588981760. Its totient is φ = 86682960000.

The previous prime is 232204041133. The next prime is 232204041151. The reversal of 232204041140 is 41140402232.

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, 2051015 + ... + 2161265.

It is an arithmetic number, because the mean of its divisors is an integer number (5433218560).

Almost surely, 2232204041140 is an apocalyptic number.

232204041140 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 232204041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260794490880).

232204041140 is an abundant number, since it is smaller than the sum of its proper divisors (289384940620).

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

232204041140 is a wasteful number, since it uses less digits than its factorization.

232204041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110413 (or 110411 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 232204041140 its reverse (41140402232), we get a palindrome (273344443372).

The spelling of 232204041140 in words is "two hundred thirty-two billion, two hundred four million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 43 62 79 86 124 155 158 172 215 310 316 395 430 620 790 860 1333 1580 2449 2666 3397 4898 5332 6665 6794 9796 12245 13330 13588 16985 24490 26660 33970 48980 67940 105307 110251 210614 220502 421228 441004 526535 551255 1053070 1102510 2106140 2205020 3417781 4740793 6835562 8709829 9481586 13671124 17088905 17419658 18963172 23703965 34177810 34839316 43549145 47407930 68355620 87098290 94815860 146964583 174196580 270004699 293929166 374522647 540009398 587858332 734822915 749045294 1080018796 1350023495 1469645830 1498090588 1872613235 2700046990 2939291660 3745226470 5400093980 7490452940 11610202057 23220404114 46440808228 58051010285 116102020570 232204041140