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22001221102200 = 23352172156982461
BaseRepresentation
bin1010000000010100011101…
…11101111110101001111000
32212220021222221000202221020
411000022032331332221320
510340432000100232300
6114443115455342440
74430351524514454
oct500121675765170
985807887022836
1022001221102200
117012735817a9a
122573b98521a20
13c3792481a592
14560c16d71664
1528248016b8a0
hex14028ef7ea78

22001221102200 has 96 divisors (see below), whose sum is σ = 72215772827760. Its totient is φ = 5521875097600.

The previous prime is 22001221102151. The next prime is 22001221102247. The reversal of 22001221102200 is 220112210022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22001221102200.

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, 1078481031 + ... + 1078501430.

Almost surely, 222001221102200 is an apocalyptic number.

22001221102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001221102200 is an abundant number, since it is smaller than the sum of its proper divisors (50214551725560).

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

22001221102200 is a wasteful number, since it uses less digits than its factorization.

22001221102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156982497 (or 2156982488 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22001221102200 its reverse (220112210022), we get a palindrome (22221333312222).

The spelling of 22001221102200 in words is "twenty-two trillion, one billion, two hundred twenty-one million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 2156982461 4313964922 6470947383 8627929844 10784912305 12941894766 17255859688 21569824610 25883789532 32354736915 36668701837 43139649220 51767579064 53924561525 64709473830 73337403674 86279298440 107849123050 110006105511 129418947660 146674807348 161773684575 183343509185 215698246100 220012211022 258837895320 293349614696 323547369150 366687018370 431396492200 440024422044 550030527555 647094738300 733374036740 880048844088 916717545925 1100061055110 1294189476600 1466748073480 1833435091850 2200122110220 2750152637775 3666870183700 4400244220440 5500305275550 7333740367400 11000610551100 22001221102200