Search a number
-
+
22021020222200 = 23524122511193021
BaseRepresentation
bin1010000000111001010110…
…00101101000001011111000
32212222012002202120021121222
411000130223011220023320
510341243022134102300
6114500152251251212
74431652260330416
oct500345305501370
985865082507558
1022021020222200
11702007591298a
1225779a3149b08
13c3975b6c04bc
14561b746c62b6
15282c3d457785
hex14072b1682f8

22021020222200 has 96 divisors (see below), whose sum is σ = 52470968674320. Its totient is φ = 8589744000000.

The previous prime is 22021020222197. The next prime is 22021020222203. The reversal of 22021020222200 is 222202012022.

It is an interprime number because it is at equal distance from previous prime (22021020222197) and next prime (22021020222203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021020222203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17861690 + ... + 19054710.

Almost surely, 222021020222200 is an apocalyptic number.

22021020222200 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 22021020222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26235484337160).

22021020222200 is an abundant number, since it is smaller than the sum of its proper divisors (30449948452120).

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

22021020222200 is a wasteful number, since it uses less digits than its factorization.

22021020222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195329 (or 1195320 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 22021020222200 its reverse (222202012022), we get a palindrome (22243222234222).

The spelling of 22021020222200 in words is "twenty-two trillion, twenty-one billion, twenty million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 2251 4100 4502 8200 9004 11255 18008 22510 45020 56275 90040 92291 112550 184582 225100 369164 450200 461455 738328 922910 1193021 1845820 2307275 2386042 3691640 4614550 4772084 5965105 9229100 9544168 11930210 18458200 23860420 29825525 47720840 48913861 59651050 97827722 119302100 195655444 238604200 244569305 391310888 489138610 978277220 1222846525 1956554440 2445693050 2685490271 4891386100 5370980542 9782772200 10741961084 13427451355 21483922168 26854902710 53709805420 67137256775 107419610840 110105101111 134274513550 220210202222 268549027100 440420404444 537098054200 550525505555 880840808888 1101051011110 2202102022220 2752627527775 4404204044440 5505255055550 11010510111100 22021020222200