Search a number
-
+
22122022210000 = 24542212202221
BaseRepresentation
bin1010000011110101011110…
…10001101000100111010000
32220022211210202121212201221
411001322233101220213100
510344421400141210000
6115014414450334424
74442156222136226
oct501725721504720
986284722555657
1022122022210000
1170599958aa279
12259349058a414
13c46136984b1b
145669d6850b16
152856a061761a
hex141eaf4689d0

22122022210000 has 50 divisors (see below), whose sum is σ = 53559627996842. Its totient is φ = 8848808880000.

The previous prime is 22122022209977. The next prime is 22122022210009. The reversal of 22122022210000 is 1222022122.

It can be written as a sum of positive squares in 5 ways, for example, as 12665683796544 + 9456338413456 = 3558888^2 + 3075116^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122022210009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1106091111 + ... + 1106111110.

Almost surely, 222122022210000 is an apocalyptic number.

22122022210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122022210000 is an abundant number, since it is smaller than the sum of its proper divisors (31437605786842).

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

22122022210000 is an equidigital number, since it uses as much as digits as its factorization.

22122022210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212202249 (or 2212202228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22122022210000 its reverse (1222022122), we get a palindrome (22123244232122).

The spelling of 22122022210000 in words is "twenty-two trillion, one hundred twenty-two billion, twenty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 2212202221 4424404442 8848808884 11061011105 17697617768 22122022210 35395235536 44244044420 55305055525 88488088840 110610111050 176976177680 221220222100 276525277625 442440444200 553050555250 884880888400 1106101110500 1382626388125 2212202221000 2765252776250 4424404442000 5530505552500 11061011105000 22122022210000