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2132220000 = 2535435537
BaseRepresentation
bin111111100010111…
…0001100001100000
312111121010222222010
41333011301201200
513331322020000
6551324512520
7103560366561
oct17705614140
95447128863
102132220000
119a4645499
124b60ab740
1327c98c451
14163276168
15c72cdd50
hex7f171860

2132220000 has 120 divisors (see below), whose sum is σ = 6994304856. Its totient is φ = 568576000.

The previous prime is 2132219933. The next prime is 2132220007. The reversal of 2132220000 is 222312.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132220007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42232 + ... + 77768.

Almost surely, 22132220000 is an apocalyptic number.

2132220000 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 2132220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497152428).

2132220000 is an abundant number, since it is smaller than the sum of its proper divisors (4862084856).

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

2132220000 is an equidigital number, since it uses as much as digits as its factorization.

2132220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35570 (or 35547 counting only the distinct ones).

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

The square root of 2132220000 is about 46175.9677754565. The cubic root of 2132220000 is about 1287.0952006077.

Adding to 2132220000 its reverse (222312), we get a palindrome (2132442312).

The spelling of 2132220000 in words is "two billion, one hundred thirty-two million, two hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 35537 60000 71074 106611 142148 177685 213222 284296 355370 426444 533055 568592 710740 852888 888425 1066110 1137184 1421480 1705776 1776850 2132220 2665275 2842960 3411552 3553700 4264440 4442125 5330550 5685920 7107400 8528880 8884250 10661100 13326375 14214800 17057760 17768500 21322200 22210625 26652750 28429600 35537000 42644400 44421250 53305500 66631875 71074000 85288800 88842500 106611000 133263750 142148000 177685000 213222000 266527500 355370000 426444000 533055000 710740000 1066110000 2132220000