Search a number
-
+
2100021222 = 231373397929
BaseRepresentation
bin111110100101011…
…1100011111100110
312102100120010112210
41331022330133212
513300101134342
6544214424250
7103016612565
oct17512743746
95370503483
102100021222
11988453032
124a7362086
132760c7710
1415cc93bdc
15c456d79c
hex7d2bc7e6

2100021222 has 64 divisors (see below), whose sum is σ = 4601580480. Its totient is φ = 635019264.

The previous prime is 2100021181. The next prime is 2100021281. The reversal of 2100021222 is 2221200012.

It is a junction number, because it is equal to n+sod(n) for n = 2100021198 and 2100021207.

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, 2260054 + ... + 2260982.

It is an arithmetic number, because the mean of its divisors is an integer number (71899695).

Almost surely, 22100021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300790240).

2100021222 is an abundant number, since it is smaller than the sum of its proper divisors (2501559258).

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

2100021222 is a wasteful number, since it uses less digits than its factorization.

2100021222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2100021222 is about 45825.9884999767. The cubic root of 2100021222 is about 1280.5834786954.

Adding to 2100021222 its reverse (2221200012), we get a palindrome (4321221234).

The spelling of 2100021222 in words is "two billion, one hundred million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 397 438 794 929 949 1191 1858 1898 2382 2787 2847 5161 5574 5694 10322 12077 15483 24154 28981 30966 36231 57962 67817 72462 86943 135634 173886 203451 368813 376753 406902 737626 753506 881621 1106439 1130259 1763242 2212878 2260518 2644863 4794569 5289726 9589138 14383707 26923349 28767414 53846698 80770047 161540094 350003537 700007074 1050010611 2100021222