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2231664023560 = 2351937457173659
BaseRepresentation
bin100000011110011001100…
…010101001100000001000
321220100022111120121000211
4200132121202221200020
5243030421442223220
64425113505010504
7320142500133406
oct40363142514010
97810274517024
102231664023560
117904971865a4
12300617923a34
131325a290985a
147a027db8476
153d0b61c4b5a
hex207998a9808

2231664023560 has 128 divisors (see below), whose sum is σ = 5440281552000. Its totient is φ = 821021681664.

The previous prime is 2231664023539. The next prime is 2231664023573. The reversal of 2231664023560 is 653204661322.

It is a super-3 number, since 3×22316640235603 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 12764011 + ... + 12937669.

It is an arithmetic number, because the mean of its divisors is an integer number (42502199625).

Almost surely, 22231664023560 is an apocalyptic number.

2231664023560 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 2231664023560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720140776000).

2231664023560 is an abundant number, since it is smaller than the sum of its proper divisors (3208617528440).

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

2231664023560 is a wasteful number, since it uses less digits than its factorization.

2231664023560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174183 (or 174179 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

Adding to 2231664023560 its reverse (653204661322), we get a palindrome (2884868684882).

The spelling of 2231664023560 in words is "two trillion, two hundred thirty-one billion, six hundred sixty-four million, twenty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 457 703 740 760 914 1406 1480 1828 2285 2812 3515 3656 4570 5624 7030 8683 9140 14060 16909 17366 18280 28120 33818 34732 43415 67636 69464 84545 86830 135272 169090 173659 173660 321271 338180 347318 347320 642542 676360 694636 868295 1285084 1389272 1606355 1736590 2570168 3212710 3299521 3473180 6425383 6425420 6599042 6946360 12850766 12850840 13198084 16497605 25701532 26396168 32126915 32995210 51403064 64253830 65990420 79362163 122082277 128507660 131980840 158724326 244164554 257015320 317448652 396810815 488329108 610411385 634897304 793621630 976658216 1220822770 1507881097 1587243260 2441645540 2936400031 3015762194 3174486520 4883291080 5872800062 6031524388 7539405485 11745600124 12063048776 14682000155 15078810970 23491200248 29364000310 30157621940 55791600589 58728000620 60315243880 111583201178 117456001240 223166402356 278958002945 446332804712 557916005890 1115832011780 2231664023560