Search a number
-
+
4223402223012 = 2233716573371461
BaseRepresentation
bin111101011101010110011…
…000111010010110100100
3112221202100011101111021000
4331131112120322112210
51023144011432114022
612552112034553300
7614062562400420
oct75352630722644
915852304344230
104223402223012
1113891534a6345
12582634a38830
1324835a61613b
141085b14d1b80
1574cd8be16ac
hex3d75663a5a4

4223402223012 has 96 divisors (see below), whose sum is σ = 12521340151040. Its totient is φ = 1205957756160.

The previous prime is 4223402222987. The next prime is 4223402223043. The reversal of 4223402223012 is 2103222043224.

4223402223012 is a `hidden beast` number, since 4 + 2 + 23 + 402 + 2 + 230 + 1 + 2 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 433039 + ... + 2938422.

Almost surely, 24223402223012 is an apocalyptic number.

4223402223012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223402223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260670075520).

4223402223012 is an abundant number, since it is smaller than the sum of its proper divisors (8297937928028).

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

4223402223012 is a wasteful number, since it uses less digits than its factorization.

4223402223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373138 (or 3373130 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4223402223012 its reverse (2103222043224), we get a palindrome (6326624266236).

The spelling of 4223402223012 in words is "four trillion, two hundred twenty-three billion, four hundred two million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1657 3314 4971 6628 9942 11599 14913 19884 23198 29826 34797 44739 46396 59652 69594 89478 104391 139188 178956 208782 313173 417564 626346 1252692 3371461 6742922 10114383 13485844 20228766 23600227 30343149 40457532 47200454 60686298 70800681 91029447 94400908 121372596 141601362 182058894 212402043 283202724 364117788 424804086 637206129 849608172 1274412258 2548824516 5586510877 11173021754 16759532631 22346043508 33519065262 39105576139 50278597893 67038130524 78211152278 100557195786 117316728417 150835793679 156422304556 201114391572 234633456834 301671587358 351950185251 469266913668 603343174716 703900370502 1055850555753 1407800741004 2111701111506 4223402223012