Search a number
-
+
12224224100 = 22521115770783
BaseRepresentation
bin10110110001001111…
…01101101101100100
31011112221000220222202
423120213231231210
5200013400132400
65340555314032
7611633122214
oct133047555544
934487026882
1012224224100
11520328a550
122451a4b918
1311ca750aca
1483d708244
154b82b24d5
hex2d89edb64

12224224100 has 72 divisors (see below), whose sum is σ = 29122802688. Its totient is φ = 4416796800.

The previous prime is 12224224063. The next prime is 12224224151. The reversal of 12224224100 is 142242221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137309 + ... + 208091.

Almost surely, 212224224100 is an apocalyptic number.

12224224100 is a gapful number since it is divisible by the number (10) 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 12224224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561401344).

12224224100 is an abundant number, since it is smaller than the sum of its proper divisors (16898578588).

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

12224224100 is a wasteful number, since it uses less digits than its factorization.

12224224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70965 (or 70958 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12224224100 its reverse (142242221), we get a palindrome (12366466321).

The spelling of 12224224100 in words is "twelve billion, two hundred twenty-four million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 157 220 275 314 550 628 785 1100 1570 1727 3140 3454 3925 6908 7850 8635 15700 17270 34540 43175 70783 86350 141566 172700 283132 353915 707830 778613 1415660 1557226 1769575 3114452 3539150 3893065 7078300 7786130 11112931 15572260 19465325 22225862 38930650 44451724 55564655 77861300 111129310 122242241 222258620 244484482 277823275 488968964 555646550 611211205 1111293100 1222422410 2444844820 3056056025 6112112050 12224224100