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22200202000000 = 275611100101
BaseRepresentation
bin1010000110000111000110…
…01001110111011010000000
32220121022121020200201000201
411003003203021313122000
510402212003203000000
6115114344302454544
74450624462321153
oct503034311673200
986538536621021
1022200202000000
11708a0642a8672
1225a666a894454
13c506159719ab
1456a6d1971c9a
15287728dd996a
hex1430e3277680

22200202000000 has 112 divisors (see below), whose sum is σ = 55283003501310. Its totient is φ = 8880080000000.

The previous prime is 22200201999919. The next prime is 22200202000019. The reversal of 22200202000000 is 20200222.

It can be written as a sum of positive squares in 7 ways, for example, as 9019642705984 + 13180559294016 = 3003272^2 + 3630504^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 13 ways as a sum of consecutive naturals, for example, 3550051 + ... + 7550050.

Almost surely, 222200202000000 is an apocalyptic number.

22200202000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200202000000 is an abundant number, since it is smaller than the sum of its proper divisors (33082801501310).

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

22200202000000 is an frugal number, since it uses more digits than its factorization.

22200202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100145 (or 11100108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 22200202000000 its reverse (20200222), we get a palindrome (22200222200222).

The spelling of 22200202000000 in words is "twenty-two trillion, two hundred billion, two hundred two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 11100101 22200202 44400404 55500505 88800808 111001010 177601616 222002020 277502525 355203232 444004040 555005050 710406464 888008080 1110010100 1387512625 1420812928 1776016160 2220020200 2775025250 3552032320 4440040400 5550050500 6937563125 7104064640 8880080800 11100101000 13875126250 17760161600 22200202000 27750252500 34687815625 35520323200 44400404000 55500505000 69375631250 88800808000 111001010000 138751262500 173439078125 177601616000 222002020000 277502525000 346878156250 444004040000 555005050000 693756312500 888008080000 1110010100000 1387512625000 2220020200000 2775025250000 4440040400000 5550050500000 11100101000000 22200202000000