Search a number
-
+
22202220111100 = 2252795634991843
BaseRepresentation
bin1010000110001010110110…
…11100010110010011111100
32220121111210220010101000021
411003011123130112103330
510402230121322023400
6115115320433541524
74451025466064041
oct503053334262374
986544726111007
1022202220111100
11708a9aa495387
1225a6b327148a4
13c50877aba783
1456a8439c31c8
152877e617871a
hex14315b7164fc

22202220111100 has 72 divisors (see below), whose sum is σ = 48875344277760. Its totient is φ = 8752895436480.

The previous prime is 22202220111091. The next prime is 22202220111103. The reversal of 22202220111100 is 111102220222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202220111103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1951779 + ... + 6943621.

It is an arithmetic number, because the mean of its divisors is an integer number (678824226080).

Almost surely, 222202220111100 is an apocalyptic number.

22202220111100 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 22202220111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24437672138880).

22202220111100 is an abundant number, since it is smaller than the sum of its proper divisors (26673124166660).

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

22202220111100 is a wasteful number, since it uses less digits than its factorization.

22202220111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992499 (or 4992492 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22202220111100 its reverse (111102220222), we get a palindrome (22313322331322).

The spelling of 22202220111100 in words is "twenty-two trillion, two hundred two billion, two hundred twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 563 790 1126 1580 1975 2252 2815 3950 5630 7900 11260 14075 28150 44477 56300 88954 177908 222385 444770 889540 1111925 2223850 4447700 4991843 9983686 19967372 24959215 49918430 99836860 124796075 249592150 394355597 499184300 788711194 1577422388 1971777985 2810407609 3943555970 5620815218 7887111940 9858889925 11241630436 14052038045 19717779850 28104076090 39435559700 56208152180 70260190225 140520380450 222022201111 281040760900 444044402222 888088804444 1110111005555 2220222011110 4440444022220 5550555027775 11101110055550 22202220111100