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32243041220 = 22513197691911
BaseRepresentation
bin11110000001110101…
…011100001111000100
310002020001222012110212
4132001311130033010
51012013204304340
622451240134552
72221004220425
oct360165341704
9102201865425
1032243041220
11127463a1105
1262ba167458
13306acb6620
1417bc2cb64c
15c8a9e8a65
hex781d5c3c4

32243041220 has 96 divisors (see below), whose sum is σ = 73475652096. Its totient is φ = 11814566400.

The previous prime is 32243041219. The next prime is 32243041223. The reversal of 32243041220 is 2214034223.

It is a super-2 number, since 2×322430412202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32243041223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35392565 + ... + 35393475.

It is an arithmetic number, because the mean of its divisors is an integer number (765371376).

Almost surely, 232243041220 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 32243041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36737826048).

32243041220 is an abundant number, since it is smaller than the sum of its proper divisors (41232610876).

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

32243041220 is a wasteful number, since it uses less digits than its factorization.

32243041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 32243041220 its reverse (2214034223), we get a palindrome (34457075443).

The spelling of 32243041220 in words is "thirty-two billion, two hundred forty-three million, forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 691 788 911 985 1382 1822 1970 2561 2764 3455 3644 3940 4555 5122 6910 8983 9110 10244 11843 12805 13820 17966 18220 23686 25610 35932 44915 47372 51220 59215 89830 118430 136127 179467 179660 236860 272254 358934 544508 629501 680635 717868 897335 1259002 1361270 1769651 1794670 2333071 2518004 2722540 3147505 3539302 3589340 4666142 6295010 7078604 8183513 8848255 9332284 11665355 12590020 16367026 17696510 23330710 32734052 35393020 40917565 46661420 81835130 124011697 163670260 248023394 496046788 620058485 1240116970 1612152061 2480233940 3224304122 6448608244 8060760305 16121520610 32243041220