Search a number
-
+
4222020202224 = 2431123797191449
BaseRepresentation
bin111101011100000100000…
…000111010111011110000
3112221121202211212120010220
4331130010000322323300
51023133144132432344
612551322545253040
7614013411406326
oct75340400727360
915847684776126
104222020202224
111388604377700
1258230a034180
1324819a1c1066
141084bdb3dd16
1574c576edc19
hex3d70403aef0

4222020202224 has 120 divisors (see below), whose sum is σ = 11991780133200. Its totient is φ = 1279056430080.

The previous prime is 4222020202223. The next prime is 4222020202327.

4222020202224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4222020202194 and 4222020202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222020202223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21957252 + ... + 22148700.

It is an arithmetic number, because the mean of its divisors is an integer number (99931501110).

Almost surely, 24222020202224 is an apocalyptic number.

4222020202224 is a gapful number since it is divisible by the number (44) 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 4222020202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995890066600).

4222020202224 is an abundant number, since it is smaller than the sum of its proper divisors (7769759930976).

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

4222020202224 is a wasteful number, since it uses less digits than its factorization.

4222020202224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195279 (or 195262 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 4222020 and 202224, that added together give a palindrome (4424244).

The spelling of 4222020202224 in words is "four trillion, two hundred twenty-two billion, twenty million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 3797 5808 7594 11391 15188 22782 30376 41767 45564 60752 83534 91128 125301 167068 182256 191449 250602 334136 382898 459437 501204 574347 668272 765796 918874 1002408 1148694 1378311 1531592 1837748 2004816 2105939 2297388 2756622 3063184 3675496 4211878 4594776 5513244 6317817 7350992 8423756 9189552 11026488 12635634 16847512 22052976 23165329 25271268 33695024 46330658 50542536 69495987 92661316 101085072 138991974 185322632 277983948 370645264 555967896 726931853 1111935792 1453863706 2180795559 2907727412 4361591118 5815454824 7996250383 8723182236 11630909648 15992500766 17446364472 23988751149 31985001532 34892728944 47977502298 63970003064 87958754213 95955004596 127940006128 175917508426 191910009192 263876262639 351835016852 383820018384 527752525278 703670033704 1055505050556 1407340067408 2111010101112 4222020202224