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11223202000 = 2453163173199
BaseRepresentation
bin10100111001111010…
…00111100011010000
31001222011102201211011
422130331013203100
5140441114431000
65053400100304
7545056433353
oct123475074320
931864381734
1011223202000
11483a22885a
122212764694
13109b24663a
147867b229a
1545a47d2ba
hex29cf478d0

11223202000 has 160 divisors (see below), whose sum is σ = 27600019200. Its totient is φ = 4413657600.

The previous prime is 11223201973. The next prime is 11223202009. The reversal of 11223202000 is 20232211.

11223202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11223202009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56397901 + ... + 56398099.

It is an arithmetic number, because the mean of its divisors is an integer number (172500120).

Almost surely, 211223202000 is an apocalyptic number.

11223202000 is a gapful number since it is divisible by the number (10) 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 11223202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800009600).

11223202000 is an abundant number, since it is smaller than the sum of its proper divisors (16376817200).

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

11223202000 is a wasteful number, since it uses less digits than its factorization.

11223202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 11223202000 its reverse (20232211), we get a palindrome (11243434211).

The spelling of 11223202000 in words is "eleven billion, two hundred twenty-three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 163 173 199 200 250 326 346 398 400 500 652 692 796 815 865 995 1000 1304 1384 1592 1630 1730 1990 2000 2608 2768 3184 3260 3460 3980 4075 4325 4975 6520 6920 7960 8150 8650 9950 13040 13840 15920 16300 17300 19900 20375 21625 24875 28199 32437 32600 34427 34600 39800 40750 43250 49750 56398 64874 65200 68854 69200 79600 81500 86500 99500 112796 129748 137708 140995 162185 163000 172135 173000 199000 225592 259496 275416 281990 324370 326000 344270 346000 398000 451184 518992 550832 563980 648740 688540 704975 810925 860675 1127960 1297480 1377080 1409950 1621850 1721350 2255920 2594960 2754160 2819900 3243700 3442700 3524875 4054625 4303375 5611601 5639800 6487400 6885400 7049750 8109250 8606750 11223202 11279600 12974800 13770800 14099500 16218500 17213500 22446404 28058005 28199000 32437000 34427000 44892808 56116010 56398000 64874000 68854000 89785616 112232020 140290025 224464040 280580050 448928080 561160100 701450125 1122320200 1402900250 2244640400 2805800500 5611601000 11223202000