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22402242000200 = 23527313711200001
BaseRepresentation
bin1010001011111111011011…
…01011010011010101001000
32221022122002202121010201002
411011333231223103111020
510414014242423001300
6115351240425114132
74501336304065466
oct505775553232510
987278082533632
1022402242000200
117157812647147
122619855628948
13c666a3801b7a
145763ba961836
1528cb014c35d5
hex145fedad3548

22402242000200 has 96 divisors (see below), whose sum is σ = 53184105497160. Its totient is φ = 8773632000000.

The previous prime is 22402242000191. The next prime is 22402242000251. The reversal of 22402242000200 is 200024220422.

It can be written as a sum of positive squares in 12 ways, for example, as 3407620008676 + 18994621991524 = 1845974^2 + 4358282^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3599801 + ... + 7600200.

Almost surely, 222402242000200 is an apocalyptic number.

22402242000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22402242000200 is an abundant number, since it is smaller than the sum of its proper divisors (30781863496960).

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

22402242000200 is a wasteful number, since it uses less digits than its factorization.

22402242000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200227 (or 11200218 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22402242000200 its reverse (200024220422), we get a palindrome (22602266220622).

It can be divided in two parts, 2240224 and 2000200, that added together give a palindrome (4240424).

The spelling of 22402242000200 in words is "twenty-two trillion, four hundred two billion, two hundred forty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 137 146 200 274 292 365 548 584 685 730 1096 1370 1460 1825 2740 2920 3425 3650 5480 6850 7300 10001 13700 14600 20002 27400 40004 50005 80008 100010 200020 250025 400040 500050 1000100 2000200 11200001 22400002 44800004 56000005 89600008 112000010 224000020 280000025 448000040 560000050 817600073 1120000100 1534400137 1635200146 2240000200 3068800274 3270400292 4088000365 6137600548 6540800584 7672000685 8176000730 12275201096 15344001370 16352001460 20440001825 30688002740 32704002920 38360003425 40880003650 61376005480 76720006850 81760007300 112011210001 153440013700 163520014600 224022420002 306880027400 448044840004 560056050005 896089680008 1120112100010 2240224200020 2800280250025 4480448400040 5600560500050 11201121000100 22402242000200