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22032310000 = 2454791672
BaseRepresentation
bin10100100001001110…
…100101111011110000
32002212110200022110111
4110201032211323300
5330110232410000
614042124511104
71406660354641
oct244116457360
962773608414
1022032310000
119386734668
12432a6ab494
13210175552c
1410d01916c8
1588e3b1cba
hex5213a5ef0

22032310000 has 150 divisors (see below), whose sum is σ = 54343042160. Its totient is φ = 8649264000.

The previous prime is 22032309979. The next prime is 22032310007. The reversal of 22032310000 is 1323022.

It is a happy number.

It is a super-2 number, since 2×220323100002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22032310007) 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 29 ways as a sum of consecutive naturals, for example, 131929917 + ... + 131930083.

Almost surely, 222032310000 is an apocalyptic number.

22032310000 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 22032310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27171521080).

22032310000 is an abundant number, since it is smaller than the sum of its proper divisors (32310732160).

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

22032310000 is an frugal number, since it uses more digits than its factorization.

22032310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 22032310000 its reverse (1323022), we get a palindrome (22033633022).

The spelling of 22032310000 in words is "twenty-two billion, thirty-two million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 167 200 250 316 334 395 400 500 625 632 668 790 835 1000 1250 1264 1336 1580 1670 1975 2000 2500 2672 3160 3340 3950 4175 5000 6320 6680 7900 8350 9875 10000 13193 13360 15800 16700 19750 20875 26386 27889 31600 33400 39500 41750 49375 52772 55778 65965 66800 79000 83500 98750 104375 105544 111556 131930 139445 158000 167000 197500 208750 211088 223112 263860 278890 329825 334000 395000 417500 446224 527720 557780 659650 697225 790000 835000 1055440 1115560 1319300 1394450 1649125 1670000 2203231 2231120 2638600 2788900 3298250 3486125 4406462 5277200 5577800 6596500 6972250 8245625 8812924 11016155 11155600 13193000 13944500 16491250 17430625 17625848 22032310 26386000 27889000 32982500 34861250 35251696 44064620 55080775 55778000 65965000 69722500 88129240 110161550 131930000 139445000 176258480 220323100 275403875 278890000 440646200 550807750 881292400 1101615500 1377019375 2203231000 2754038750 4406462000 5508077500 11016155000 22032310000