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22202001121220 = 22518113014714181
BaseRepresentation
bin1010000110001010011100…
…11000111101111111000100
32220121111020122001112100222
411003011032120331333010
510402224144241334340
6115115243012123512
74451020166515424
oct503051630757704
986544218045328
1022202001121220
11708a8a7912008
1225a6a91306598
13c50841614a6b
1456a82289a484
152877d1d1c8b5
hex14314e63dfc4

22202001121220 has 48 divisors (see below), whose sum is σ = 46917839784816. Its totient is φ = 8824944960000.

The previous prime is 22202001121207. The next prime is 22202001121241. The reversal of 22202001121220 is 2212110020222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5058144937024 + 17143856184196 = 2249032^2 + 4140514^2 .

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 15 ways as a sum of consecutive naturals, for example, 2352530 + ... + 7066710.

It is an arithmetic number, because the mean of its divisors is an integer number (977454995517).

Almost surely, 222202001121220 is an apocalyptic number.

22202001121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202001121220 is an abundant number, since it is smaller than the sum of its proper divisors (24715838663596).

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

22202001121220 is a wasteful number, since it uses less digits than its factorization.

22202001121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715672 (or 4715670 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22202001121220 its reverse (2212110020222), we get a palindrome (24414111141442).

The spelling of 22202001121220 in words is "twenty-two trillion, two hundred two billion, one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1301 1810 2602 3620 5204 6505 13010 26020 235481 470962 941924 1177405 2354810 4709620 4714181 9428362 18856724 23570905 47141810 94283620 853266761 1706533522 3413067044 4266333805 6133149481 8532667610 12266298962 17065335220 24532597924 30665747405 61331494810 122662989620 1110100056061 2220200112122 4440400224244 5550500280305 11101000560610 22202001121220