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2132000220 = 223577396869
BaseRepresentation
bin111111100010011…
…1011110111011100
312111120201211111010
41333010323313130
513331243001340
6551320055220
7103555463040
oct17704736734
95446654433
102132000220
119a4505359
124b6004510
1327c9133bc
1416321a020
15c7288b80
hex7f13bddc

2132000220 has 96 divisors (see below), whose sum is σ = 6832627200. Its totient is φ = 486584064.

The previous prime is 2132000219. The next prime is 2132000239. The reversal of 2132000220 is 220002312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2132000196 and 2132000205.

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, 306946 + ... + 313814.

It is an arithmetic number, because the mean of its divisors is an integer number (71173200).

Almost surely, 22132000220 is an apocalyptic number.

2132000220 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 2132000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416313600).

2132000220 is an abundant number, since it is smaller than the sum of its proper divisors (4700626980).

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

2132000220 is a wasteful number, since it uses less digits than its factorization.

2132000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7627 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2132000220 is about 46173.5879047752. The cubic root of 2132000220 is about 1287.0509763559.

Adding to 2132000220 its reverse (220002312), we get a palindrome (2352002532).

The spelling of 2132000220 in words is "two billion, one hundred thirty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 739 1478 2217 2956 3695 4434 5173 6869 7390 8868 10346 11085 13738 14780 15519 20607 20692 22170 25865 27476 31038 34345 41214 44340 48083 51730 62076 68690 77595 82428 96166 103035 103460 137380 144249 155190 192332 206070 240415 288498 310380 412140 480830 576996 721245 961660 1442490 2884980 5076191 10152382 15228573 20304764 25380955 30457146 35533337 50761910 60914292 71066674 76142865 101523820 106600011 142133348 152285730 177666685 213200022 304571460 355333370 426400044 533000055 710666740 1066000110 2132000220