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22032131200 = 27526885041
BaseRepresentation
bin10100100001001101…
…111010010010000000
32002212110100020012021
4110201031322102000
5330110211144300
614042121011224
71406656011442
oct244115722200
962773306167
1022032131200
1193866222a2
12432a623b14
1321016c2031
1410d0146492
1588e378d1a
hex52137a480

22032131200 has 48 divisors (see below), whose sum is σ = 54426257010. Its totient is φ = 8812851200.

The previous prime is 22032131171. The next prime is 22032131237. The reversal of 22032131200 is 213123022.

It can be written as a sum of positive squares in 3 ways, for example, as 17409219136 + 4622912064 = 131944^2 + 67992^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3439321 + ... + 3445720.

Almost surely, 222032131200 is an apocalyptic number.

22032131200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22032131200 is an abundant number, since it is smaller than the sum of its proper divisors (32394125810).

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

22032131200 is an equidigital number, since it uses as much as digits as its factorization.

22032131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885065 (or 6885048 counting only the distinct ones).

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

Adding to 22032131200 its reverse (213123022), we get a palindrome (22245254222).

The spelling of 22032131200 in words is "twenty-two billion, thirty-two million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 6885041 13770082 27540164 34425205 55080328 68850410 110160656 137700820 172126025 220321312 275401640 344252050 440642624 550803280 688504100 881285248 1101606560 1377008200 2203213120 2754016400 4406426240 5508032800 11016065600 22032131200