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11223322000 = 2453111015051
BaseRepresentation
bin10100111001111011…
…00100110110010000
31001222011122211102121
422130331210312100
5140441132301000
65053402424024
7545060443252
oct123475446620
931864584377
1011223322000
11483a2aaa30
122212802014
13109b289147
14786803cd2
1545a4a3b1a
hex29cf64d90

11223322000 has 160 divisors (see below), whose sum is σ = 29904121728. Its totient is φ = 4040000000.

The previous prime is 11223321979. The next prime is 11223322009. The reversal of 11223322000 is 22332211.

11223322000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11223322009) 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, 2219475 + ... + 2224525.

Almost surely, 211223322000 is an apocalyptic number.

11223322000 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 11223322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14952060864).

11223322000 is an abundant number, since it is smaller than the sum of its proper divisors (18680799728).

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

11223322000 is a wasteful number, since it uses less digits than its factorization.

11223322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11223322000 its reverse (22332211), we get a palindrome (11245654211).

The spelling of 11223322000 in words is "eleven billion, two hundred twenty-three million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 125 176 200 202 220 250 275 400 404 440 500 505 550 808 880 1000 1010 1100 1111 1375 1616 2000 2020 2200 2222 2525 2750 4040 4400 4444 5050 5051 5500 5555 8080 8888 10100 10102 11000 11110 12625 17776 20200 20204 22000 22220 25250 25255 27775 40400 40408 44440 50500 50510 55550 55561 80816 88880 101000 101020 111100 111122 126275 138875 202000 202040 222200 222244 252550 277750 277805 404080 444400 444488 505100 510151 555500 555610 631375 888976 1010200 1020302 1111000 1111220 1262750 1389025 2020400 2040604 2222000 2222440 2525500 2550755 2778050 4081208 4444880 5051000 5101510 5556100 5611661 6945125 8162416 10102000 10203020 11112200 11223322 12753775 13890250 20406040 22224400 22446644 25507550 27780500 28058305 40812080 44893288 51015100 55561000 56116610 63768875 89786576 102030200 111122000 112233220 127537750 140291525 204060400 224466440 255075500 280583050 448932880 510151000 561166100 701457625 1020302000 1122332200 1402915250 2244664400 2805830500 5611661000 11223322000