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2212121000 = 23534395039
BaseRepresentation
bin1000001111011010…
…0100100110101000
312201011111101112102
42003312210212220
514012300333000
61003301232532
7105550501235
oct20366444650
95634441472
102212121000
11a35759281
12518a02748
132933b674b
1416db1478c
15ce3133d5
hex83da49a8

2212121000 has 64 divisors (see below), whose sum is σ = 5189184000. Its totient is φ = 882657600.

The previous prime is 2212120969. The next prime is 2212121029. The reversal of 2212121000 is 1212122.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436481 + ... + 441519.

It is an arithmetic number, because the mean of its divisors is an integer number (81081000).

Almost surely, 22212121000 is an apocalyptic number.

2212121000 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 2212121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592000).

2212121000 is an abundant number, since it is smaller than the sum of its proper divisors (2977063000).

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

2212121000 is a wasteful number, since it uses less digits than its factorization.

2212121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2212121000 is about 47033.1904084764. The cubic root of 2212121000 is about 1302.9756295081.

Adding to 2212121000 its reverse (1212122), we get a palindrome (2213333122).

The spelling of 2212121000 in words is "two billion, two hundred twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 439 500 878 1000 1756 2195 3512 4390 5039 8780 10078 10975 17560 20156 21950 25195 40312 43900 50390 54875 87800 100780 109750 125975 201560 219500 251950 439000 503900 629875 1007800 1259750 2212121 2519500 4424242 5039000 8848484 11060605 17696968 22121210 44242420 55303025 88484840 110606050 221212100 276515125 442424200 553030250 1106060500 2212121000