Search a number
-
+
11223422400 = 263522338213
BaseRepresentation
bin10100111001111011…
…11101010111000000
31001222011211221011010
422130331331113000
5140441144004100
65053404520520
7545061342051
oct123475752700
931864757133
1011223422400
11483a369403
122212850140
13109b2c2a58
1478682c728
1545a4c3750
hex29cf7d5c0

11223422400 has 84 divisors (see below), whose sum is σ = 36822194072. Its totient is φ = 2992911360.

The previous prime is 11223422383. The next prime is 11223422407. The reversal of 11223422400 is 422432211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11223422407) 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 11 ways as a sum of consecutive naturals, for example, 1164307 + ... + 1173906.

Almost surely, 211223422400 is an apocalyptic number.

11223422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11223422400 is an abundant number, since it is smaller than the sum of its proper divisors (25598771672).

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

11223422400 is a wasteful number, since it uses less digits than its factorization.

11223422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338238 (or 2338223 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11223422400 its reverse (422432211), we get a palindrome (11645854611).

The spelling of 11223422400 in words is "eleven billion, two hundred twenty-three million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 2338213 4676426 7014639 9352852 11691065 14029278 18705704 23382130 28058556 35073195 37411408 46764260 56117112 58455325 70146390 74822816 93528520 112234224 116910650 140292780 149645632 175365975 187057040 224468448 233821300 280585560 350731950 374114080 448936896 467642600 561171120 701463900 748228160 935285200 1122342240 1402927800 1870570400 2244684480 2805855600 3741140800 5611711200 11223422400