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11222002000 = 2453114710853
BaseRepresentation
bin10100111001110001…
…00010100101010000
31001222002011202201201
422130320202211100
5140440313031000
65053314240544
7545043304666
oct123470424520
931862152651
1011222002000
114839589220
122212286154
13109ac16391
1478657cc36
1545a2e296a
hex29ce22950

11222002000 has 160 divisors (see below), whose sum is σ = 30234207744. Its totient is φ = 3993536000.

The previous prime is 11222001997. The next prime is 11222002007. The reversal of 11222002000 is 20022211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028574 + ... + 1039426.

Almost surely, 211222002000 is an apocalyptic number.

11222002000 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 11222002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15117103872).

11222002000 is an abundant number, since it is smaller than the sum of its proper divisors (19012205744).

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

11222002000 is a wasteful number, since it uses less digits than its factorization.

11222002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10934 (or 10918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 11222002000 its reverse (20022211), we get a palindrome (11242024211).

The spelling of 11222002000 in words is "eleven billion, two hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 110 125 176 188 200 220 235 250 275 376 400 440 470 500 517 550 752 880 940 1000 1034 1100 1175 1375 1880 2000 2068 2200 2350 2585 2750 3760 4136 4400 4700 5170 5500 5875 8272 9400 10340 10853 11000 11750 12925 18800 20680 21706 22000 23500 25850 41360 43412 47000 51700 54265 64625 86824 94000 103400 108530 119383 129250 173648 206800 217060 238766 258500 271325 434120 477532 510091 517000 542650 596915 868240 955064 1020182 1034000 1085300 1193830 1356625 1910128 2040364 2170600 2387660 2550455 2713250 2984575 4080728 4341200 4775320 5100910 5426500 5611001 5969150 8161456 9550640 10201820 10853000 11222002 11938300 12752275 14922875 20403640 21706000 22444004 23876600 25504550 28055005 29845750 40807280 44888008 47753200 51009100 56110010 59691500 63761375 89776016 102018200 112220020 119383000 127522750 140275025 204036400 224440040 238766000 255045500 280550050 448880080 510091000 561100100 701375125 1020182000 1122200200 1402750250 2244400400 2805500500 5611001000 11222002000