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200022022000 = 2453112389057
BaseRepresentation
bin1011101001001000111…
…1011101011101110000
3201010021212201112000001
42322102033131131300
511234121114201000
6231515554035344
720310506064043
oct2722217353560
9633255645001
10200022022000
11779132426a9
1232922b78b54
1315b28a5ca48
149976db4c5a
15530a37446a
hex2e923dd770

200022022000 has 80 divisors (see below), whose sum is σ = 484089364512. Its totient is φ = 79936665600.

The previous prime is 200022021943. The next prime is 200022022003. The reversal of 200022022000 is 220220002.

It is a tau number, because it is divible by the number of its divisors (80).

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 (200022022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2201472 + ... + 2290528.

Almost surely, 2200022022000 is an apocalyptic number.

200022022000 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 200022022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242044682256).

200022022000 is an abundant number, since it is smaller than the sum of its proper divisors (284067342512).

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

200022022000 is a wasteful number, since it uses less digits than its factorization.

200022022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90203 (or 90187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 200022022000 its reverse (220220002), we get a palindrome (200242242002).

The spelling of 200022022000 in words is "two hundred billion, twenty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1123 2000 2246 4492 5615 8984 11230 17968 22460 28075 44920 56150 89057 89840 112300 140375 178114 224600 280750 356228 445285 449200 561500 712456 890570 1123000 1424912 1781140 2226425 2246000 3562280 4452850 7124560 8905700 11132125 17811400 22264250 35622800 44528500 89057000 100011011 178114000 200022022 400044044 500055055 800088088 1000110110 1600176176 2000220220 2500275275 4000440440 5000550550 8000880880 10001101100 12501376375 20002202200 25002752750 40004404400 50005505500 100011011000 200022022000