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22001222210004 = 22343159142925981
BaseRepresentation
bin1010000000010100011110…
…00010001101000111010100
32212220022000000010001120000
411000022033002031013110
510340432000341210004
6114443115535211300
74430351540110302
oct500121702150724
985808000101500
1022001222210004
117012736404334
122573b98976b30
13c37924b1789b
14560c1717d272
152824802d9c39
hex14028f08d1d4

22001222210004 has 240 divisors, whose sum is σ = 60421743782400. Its totient is φ = 6971726764800.

The previous prime is 22001222209943. The next prime is 22001222210029. The reversal of 22001222210004 is 40001222210022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 846806694 + ... + 846832674.

It is an arithmetic number, because the mean of its divisors is an integer number (251757265760).

Almost surely, 222001222210004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001222210004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30210871891200).

22001222210004 is an abundant number, since it is smaller than the sum of its proper divisors (38420521572396).

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

22001222210004 is a wasteful number, since it uses less digits than its factorization.

22001222210004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27516 (or 27505 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22001222210004 its sum of digits (18), we get a palindrome (22001222210022).

Adding to 22001222210004 its reverse (40001222210022), we get a palindrome (62002444420026).

The spelling of 22001222210004 in words is "twenty-two trillion, one billion, two hundred twenty-two million, two hundred ten thousand, four".