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22102540000 = 25542348049
BaseRepresentation
bin10100100101011010…
…011111111011100000
32010001100211100220121
4110211122133323200
5330231222240000
614053114050024
71411502330062
oct244532377340
963040740817
1022102540000
119412342492
12434a119914
132113174948
1410d9633732
15895635b1a
hex52569fee0

22102540000 has 120 divisors (see below), whose sum is σ = 56740899600. Its totient is φ = 8456448000.

The previous prime is 22102539971. The next prime is 22102540027. The reversal of 22102540000 is 4520122.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 435976 + ... + 484024.

It is an arithmetic number, because the mean of its divisors is an integer number (472840830).

Almost surely, 222102540000 is an apocalyptic number.

22102540000 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 22102540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28370449800).

22102540000 is an abundant number, since it is smaller than the sum of its proper divisors (34638359600).

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

22102540000 is an equidigital number, since it uses as much as digits as its factorization.

22102540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48102 (or 48079 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The spelling of 22102540000 in words is "twenty-two billion, one hundred two million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 625 736 800 920 1000 1150 1250 1840 2000 2300 2500 2875 3680 4000 4600 5000 5750 9200 10000 11500 14375 18400 20000 23000 28750 46000 48049 57500 92000 96098 115000 192196 230000 240245 384392 460000 480490 768784 960980 1105127 1201225 1537568 1921960 2210254 2402450 3843920 4420508 4804900 5525635 6006125 7687840 8841016 9609800 11051270 12012250 17682032 19219600 22102540 24024500 27628175 30030625 35364064 38439200 44205080 48049000 55256350 60061250 88410160 96098000 110512700 120122500 138140875 176820320 192196000 221025400 240245000 276281750 442050800 480490000 552563500 690704375 884101600 960980000 1105127000 1381408750 2210254000 2762817500 4420508000 5525635000 11051270000 22102540000