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20222231200 = 2552193130973
BaseRepresentation
bin10010110101010101…
…101100001010100000
31221012022200210010221
4102311111230022200
5312403342344300
613142344332424
71314061062163
oct226525541240
957168623127
1020222231200
118637a16676
123b04474114
131ba3746aa2
14d9ba13ada
157d551731a
hex4b556c2a0

20222231200 has 72 divisors (see below), whose sum is σ = 49623691068. Its totient is φ = 8046919680.

The previous prime is 20222231167. The next prime is 20222231243. The reversal of 20222231200 is 213222202.

It can be written as a sum of positive squares in 6 ways, for example, as 9473518224 + 10748712976 = 97332^2 + 103676^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88914 + ... + 219886.

Almost surely, 220222231200 is an apocalyptic number.

20222231200 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 20222231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24811845534).

20222231200 is an abundant number, since it is smaller than the sum of its proper divisors (29401459868).

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

20222231200 is a wasteful number, since it uses less digits than its factorization.

20222231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131186 (or 131173 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20222231200 its reverse (213222202), we get a palindrome (20435453402).

The spelling of 20222231200 in words is "twenty billion, two hundred twenty-two million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 193 200 386 400 772 800 965 1544 1930 3088 3860 4825 6176 7720 9650 15440 19300 30880 38600 77200 130973 154400 261946 523892 654865 1047784 1309730 2095568 2619460 3274325 4191136 5238920 6548650 10477840 13097300 20955680 25277789 26194600 50555578 52389200 101111156 104778400 126388945 202222312 252777890 404444624 505555780 631944725 808889248 1011111560 1263889450 2022223120 2527778900 4044446240 5055557800 10111115600 20222231200