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22300220422100 = 22523123053312047
BaseRepresentation
bin1010001001000001011001…
…01101110111011111010100
32220221212202200222222122102
411010200230231313133110
510410331322412001400
6115232325124421232
74461065152014335
oct504405455673724
986855680888572
1022300220422100
11711851a076545
122601b22847818
13c59b9523158a
1457149d22a28c
1528a12ea629d5
hex14482cb777d4

22300220422100 has 72 divisors (see below), whose sum is σ = 49954820686848. Its totient is φ = 8631941270400.

The previous prime is 22300220422099. The next prime is 22300220422121. The reversal of 22300220422100 is 122402200322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71308277 + ... + 71620323.

It is an arithmetic number, because the mean of its divisors is an integer number (693816953984).

Almost surely, 222300220422100 is an apocalyptic number.

22300220422100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22300220422100 is an abundant number, since it is smaller than the sum of its proper divisors (27654600264748).

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

22300220422100 is a wasteful number, since it uses less digits than its factorization.

22300220422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335145 (or 335138 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22300220422100 its reverse (122402200322), we get a palindrome (22422622622422).

The spelling of 22300220422100 in words is "twenty-two trillion, three hundred billion, two hundred twenty million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 23053 46106 92212 115265 230530 312047 461060 576325 624094 714643 1152650 1248188 1429286 1560235 2305300 2858572 3120470 3573215 6240940 7146430 7801175 9673457 14292860 15602350 17866075 19346914 31204700 35732150 38693828 48367285 71464300 96734570 193469140 241836425 483672850 967345700 7193619491 14387238982 28774477964 35968097455 71936194910 143872389820 179840487275 223002204221 359680974550 446004408442 719361949100 892008816884 1115011021105 2230022042210 4460044084420 5575055105525 11150110211050 22300220422100