Search a number
-
+
2200222011200 = 26521375138757
BaseRepresentation
bin100000000001000111011…
…100111000111101000000
321210100011020212212120112
4200001013130320331000
5242022023313324300
64402433521330452
7314650360343033
oct40010734707500
97710136785515
102200222011200
11779121a69314
122b6501a96a28
1312c631876505
14786c424301a
153c375ba7e35
hex20047738f40

2200222011200 has 42 divisors (see below), whose sum is σ = 5413921290246. Its totient is φ = 880088803840.

The previous prime is 2200222011199. The next prime is 2200222011203. The reversal of 2200222011200 is 21102220022.

It can be written as a sum of positive squares in 3 ways, for example, as 349120266496 + 1851101744704 = 590864^2 + 1360552^2 .

It is a super-3 number, since 3×22002220112003 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200222011203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 687567779 + ... + 687570978.

It is an arithmetic number, because the mean of its divisors is an integer number (128902887863).

Almost surely, 22200222011200 is an apocalyptic number.

2200222011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200222011200 is an abundant number, since it is smaller than the sum of its proper divisors (3213699279046).

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

2200222011200 is a wasteful number, since it uses less digits than its factorization.

2200222011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375138779 (or 1375138764 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2200222011200 its reverse (21102220022), we get a palindrome (2221324231222).

The spelling of 2200222011200 in words is "two trillion, two hundred billion, two hundred twenty-two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 1375138757 2750277514 5500555028 6875693785 11001110056 13751387570 22002220112 27502775140 34378468925 44004440224 55005550280 68756937850 88008880448 110011100560 137513875700 220022201120 275027751400 440044402240 550055502800 1100111005600 2200222011200