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22202133434221 = 13611371301157081
BaseRepresentation
bin1010000110001010101100…
…10001101100111101101101
32220121111120212000201200111
411003011112101230331231
510402224432124343341
6115115304100100021
74451023364251546
oct503052621547555
986544525021614
1022202133434221
11708a9655737a4
1225a6b09694611
13c50862b60290
1456a83629d4cd
152877dd756681
hex14315646cf6d

22202133434221 has 32 divisors (see below), whose sum is σ = 24498315194976. Its totient is φ = 19995655680000.

The previous prime is 22202133434219. The next prime is 22202133434263. The reversal of 22202133434221 is 12243433120222.

It can be written as a sum of positive squares in 16 ways, for example, as 22179258384196 + 22875050025 = 4709486^2 + 151245^2 .

It is not a de Polignac number, because 22202133434221 - 21 = 22202133434219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202133434321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 141263401 + ... + 141420481.

It is an arithmetic number, because the mean of its divisors is an integer number (765572349843).

Almost surely, 222202133434221 is an apocalyptic number.

It is an amenable number.

22202133434221 is a deficient number, since it is larger than the sum of its proper divisors (2296181760755).

22202133434221 is a wasteful number, since it uses less digits than its factorization.

22202133434221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158593.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 22202133434221 its reverse (12243433120222), we get a palindrome (34445566554443).

The spelling of 22202133434221 in words is "twenty-two trillion, two hundred two billion, one hundred thirty-three million, four hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 13 61 137 793 1301 1781 8357 16913 79361 108641 157081 178237 1031693 2042053 2317081 9581941 10872457 21520097 124565233 141341941 204362381 279761261 1312725917 2656710953 12466105241 17065436921 27997646197 162059368133 363969400561 1707856418017 22202133434221