Search a number
-
+
212222212100 = 225223701131627
BaseRepresentation
bin1100010110100101101…
…1011111100000000100
3202021210010112101112122
43011221123133200010
511434112341241400
6241254334305112
721222031016303
oct3055133374004
9667703471478
10212222212100
11820039a7038
1235168958198
1317021517242
14a3b342443a
1557c148a685
hex31696df804

212222212100 has 72 divisors (see below), whose sum is σ = 481234074048. Its totient is φ = 81081616000.

The previous prime is 212222212073. The next prime is 212222212127. The reversal of 212222212100 is 1212222212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212222212073) and next prime (212222212127).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546487 + ... + 1678113.

It is an arithmetic number, because the mean of its divisors is an integer number (6683806584).

Almost surely, 2212222212100 is an apocalyptic number.

212222212100 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 212222212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240617037024).

212222212100 is an abundant number, since it is smaller than the sum of its proper divisors (269011861948).

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

212222212100 is a wasteful number, since it uses less digits than its factorization.

212222212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132365 (or 132358 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212222212100 its reverse (1212222212), we get a palindrome (213434434312).

It can be divided in two parts, 21222 and 2212100, that added together give a palindrome (2233322).

The spelling of 212222212100 in words is "two hundred twelve billion, two hundred twenty-two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 701 1150 1402 2300 2804 3505 7010 14020 16123 17525 32246 35050 64492 70100 80615 131627 161230 263254 322460 403075 526508 658135 806150 1316270 1612300 2632540 3027421 3290675 6054842 6581350 12109684 13162700 15137105 30274210 60548420 75685525 92270527 151371050 184541054 302742100 369082108 461352635 922705270 1845410540 2122222121 2306763175 4244444242 4613526350 8488888484 9227052700 10611110605 21222221210 42444442420 53055553025 106111106050 212222212100