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2320204020232 = 237538310193253
BaseRepresentation
bin100001110000110110111…
…011111011101000001000
322012210212000012110002211
4201300312323323220020
5301003234212121412
64533515332234504
7326425550524450
oct41606673735010
98183760173084
102320204020232
11814aa175556a
1231580776ba34
1313aa43101a27
1480427024d60
15405492a7ca7
hex21c36efba08

2320204020232 has 128 divisors (see below), whose sum is σ = 5177521762560. Its totient is φ = 954303667200.

The previous prime is 2320204020227. The next prime is 2320204020241.

2320204020232 is nontrivially palindromic in base 10.

2320204020232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 24834118 + ... + 24927370.

It is an arithmetic number, because the mean of its divisors is an integer number (40449388770).

Almost surely, 22320204020232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320204020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588760881280).

2320204020232 is an abundant number, since it is smaller than the sum of its proper divisors (2857317742328).

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

2320204020232 is a wasteful number, since it uses less digits than its factorization.

2320204020232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93503 (or 93499 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The spelling of 2320204020232 in words is "two trillion, three hundred twenty billion, two hundred four million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 53 56 83 101 106 166 202 212 332 371 404 424 581 664 707 742 808 1162 1414 1484 2324 2828 2968 4399 4648 5353 5656 8383 8798 10706 16766 17596 21412 30793 33532 35192 37471 42824 58681 61586 67064 74942 93253 117362 123172 149884 186506 234724 246344 299768 373012 444299 469448 652771 746024 888598 1305542 1777196 2611084 3110093 3554392 4942409 5222168 6220186 7739999 9418553 9884818 12440372 15479998 18837106 19769636 24880744 30959996 34596863 37674212 39539272 54179993 61919992 65929871 69193726 75348424 108359986 131859742 138387452 216719972 263719484 276774904 410219947 433439944 499183309 527438968 781739899 820439894 998366618 1563479798 1640879788 1996733236 2871539629 3126959596 3281759576 3494283163 3993466472 5472179293 5743079258 6253919192 6988566326 10944358586 11486158516 13977132652 21888717172 22972317032 27954265304 41432214647 43777434344 82864429294 165728858588 290025502529 331457717176 580051005058 1160102010116 2320204020232