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22421201243004 = 22331934493168023
BaseRepresentation
bin1010001100100010101111…
…01111000100101101111100
32221101110001001202110111000
411012101113233010231330
510414322110004234004
6115404054015330300
74502610161021034
oct506212757045574
987343031673430
1022421201243004
117164861644953
122621466b20990
13c6840569c235
1457729892a8c4
1528d360babc39
hex146457bc4b7c

22421201243004 has 96 divisors (see below), whose sum is σ = 61206223680000. Its totient is φ = 7078324226688.

The previous prime is 22421201242997. The next prime is 22421201243027. The reversal of 22421201243004 is 40034210212422.

It is a happy number.

22421201243004 is a `hidden beast` number, since 2 + 2 + 4 + 21 + 201 + 2 + 430 + 0 + 4 = 666.

It is a super-2 number, since 2×224212012430042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5493337 + ... + 8661359.

It is an arithmetic number, because the mean of its divisors is an integer number (637564830000).

Almost surely, 222421201243004 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 22421201243004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30603111840000).

22421201243004 is an abundant number, since it is smaller than the sum of its proper divisors (38785022436996).

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

22421201243004 is a wasteful number, since it uses less digits than its factorization.

22421201243004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171504 (or 3171496 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22421201243004 its reverse (40034210212422), we get a palindrome (62455411455426).

The spelling of 22421201243004 in words is "twenty-two trillion, four hundred twenty-one billion, two hundred one million, two hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 3449 6898 10347 13796 20694 31041 41388 62082 65531 93123 124164 131062 186246 196593 262124 372492 393186 589779 786372 1179558 1769337 2359116 3168023 3538674 6336046 7077348 9504069 12672092 19008138 28512207 38016276 57024414 60192437 85536621 114048828 120384874 171073242 180577311 240769748 342146484 361154622 541731933 722309244 1083463866 1625195799 2166927732 3250391598 6500783196 10926511327 21853022654 32779533981 43706045308 65559067962 98338601943 131118135924 196677203886 207603715213 295015805829 393354407772 415207430426 590031611658 622811145639 830414860852 1180063223316 1245622291278 1868433436917 2491244582556 3736866873834 5605300310751 7473733747668 11210600621502 22421201243004