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2212310000 = 24541971123
BaseRepresentation
bin1000001111011101…
…0010101111110000
312201011211222210102
42003313102233300
514012322410000
61003305251532
7105552216245
oct20367225760
95634758712
102212310000
11a3587827a
12518a93ba8
13293451794
1416db635cc
15ce34e3d5
hex83dd2bf0

2212310000 has 100 divisors (see below), whose sum is σ = 5388206472. Its totient is φ = 879648000.

The previous prime is 2212309933. The next prime is 2212310059. The reversal of 2212310000 is 132122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×22123100002 = 9788631072200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1969439 + ... + 1970561.

Almost surely, 22212310000 is an apocalyptic number.

2212310000 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 2212310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694103236).

2212310000 is an abundant number, since it is smaller than the sum of its proper divisors (3175896472).

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

2212310000 is a wasteful number, since it uses less digits than its factorization.

2212310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2212310000 is about 47035.1995849917. The cubic root of 2212310000 is about 1303.0127364868.

Adding to 2212310000 its reverse (132122), we get a palindrome (2212442122).

It can be divided in two parts, 22123 and 10000, that added together give a palindrome (32123).

The spelling of 2212310000 in words is "two billion, two hundred twelve million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 197 200 250 394 400 500 625 788 985 1000 1123 1250 1576 1970 2000 2246 2500 3152 3940 4492 4925 5000 5615 7880 8984 9850 10000 11230 15760 17968 19700 22460 24625 28075 39400 44920 49250 56150 78800 89840 98500 112300 123125 140375 197000 221231 224600 246250 280750 394000 442462 449200 492500 561500 701875 884924 985000 1106155 1123000 1403750 1769848 1970000 2212310 2246000 2807500 3539696 4424620 5530775 5615000 8849240 11061550 11230000 17698480 22123100 27653875 44246200 55307750 88492400 110615500 138269375 221231000 276538750 442462000 553077500 1106155000 2212310000