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22122012002200 = 23521143233847907
BaseRepresentation
bin1010000011110101011101…
…01010101100011110011000
32220022211210001102021021021
411001322232222230132120
510344421340033032300
6115014413443452224
74442156036312665
oct501725652543630
986284701367237
1022122012002200
117059990067a80
122593489087074
13c4613481c7c6
145669d5354a6c
1528569e79cd1a
hex141eaeaac798

22122012002200 has 96 divisors (see below), whose sum is σ = 57414338372160. Its totient is φ = 7857289641600.

The previous prime is 22122012002191. The next prime is 22122012002263. The reversal of 22122012002200 is 220021022122.

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, 116829354 + ... + 117018553.

It is an arithmetic number, because the mean of its divisors is an integer number (598066024710).

Almost surely, 222122012002200 is an apocalyptic number.

22122012002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122012002200 is an abundant number, since it is smaller than the sum of its proper divisors (35292326369960).

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

22122012002200 is a wasteful number, since it uses less digits than its factorization.

22122012002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233847977 (or 233847968 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22122012002200 its reverse (220021022122), we get a palindrome (22342033024322).

The spelling of 22122012002200 in words is "twenty-two trillion, one hundred twenty-two billion, twelve million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 172 200 215 220 275 344 430 440 473 550 860 946 1075 1100 1720 1892 2150 2200 2365 3784 4300 4730 8600 9460 11825 18920 23650 47300 94600 233847907 467695814 935391628 1169239535 1870783256 2338479070 2572326977 4676958140 5144653954 5846197675 9353916280 10055460001 10289307908 11692395350 12861634885 20110920002 20578615816 23384790700 25723269770 40221840004 46769581400 50277300005 51446539540 64308174425 80443680008 100554600010 102893079080 110610060011 128616348850 201109200020 221220120022 251386500025 257232697700 402218400040 442440240044 502773000050 514465395400 553050300055 884880480088 1005546000100 1106100600110 2011092000200 2212201200220 2765251500275 4424402400440 5530503000550 11061006001100 22122012002200