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22332221430421 = 722931216353641
BaseRepresentation
bin1010001001111101000000…
…01000000001101010010101
32221001221100220112122101211
411010332200020001222111
510411342342141233141
6115255140401221421
74463310160054600
oct504764010015225
987057326478354
1022332221430421
117130050885761
122608173931871
13c5cbc5034966
14572c57313337
1528ada419cd81
hex144fa0201a95

22332221430421 has 36 divisors (see below), whose sum is σ = 27768974725260. Its totient is φ = 17885648995200.

The previous prime is 22332221430383. The next prime is 22332221430451. The reversal of 22332221430421 is 12403412223322.

It can be written as a sum of positive squares in 2 ways, for example, as 18539173049796 + 3793048380625 = 4305714^2 + 1947575^2 .

It is not a de Polignac number, because 22332221430421 - 231 = 22330073946773 is a prime.

It is a super-2 number, since 2×223322214304212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22332221430451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6811240 + ... + 9542401.

It is an arithmetic number, because the mean of its divisors is an integer number (771360409035).

Almost surely, 222332221430421 is an apocalyptic number.

It is an amenable number.

22332221430421 is a deficient number, since it is larger than the sum of its proper divisors (5436753294839).

22332221430421 is a wasteful number, since it uses less digits than its factorization.

22332221430421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16353746 (or 16353708 counting only the distinct ones).

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

Adding to 22332221430421 its reverse (12403412223322), we get a palindrome (34735633653743).

The spelling of 22332221430421 in words is "twenty-two trillion, three hundred thirty-two billion, two hundred twenty-one million, four hundred thirty thousand, four hundred twenty-one".

Divisors: 1 7 29 31 49 203 217 899 961 1421 1519 6293 6727 27869 44051 47089 195083 1365581 16353641 114475487 474255589 506962871 801328409 3319789123 3548740097 14701923259 15715849001 23238523861 24841180679 102913462813 110010943007 455759621029 720394239691 770076601049 3190317347203 22332221430421