Search a number
-
+
22443331443150 = 23523145911051301
BaseRepresentation
bin1010001101001011111101…
…10011000101100111001110
32221110120011100122002222110
411012211332303011213032
510420202420322140100
6115422154002324450
74504322450433012
oct506457663054716
987416140562873
1022443331443150
117173188559862
122625802359726
13c6a5214a9b17
14578397ac0542
1528dc08958250
hex14697ecc59ce

22443331443150 has 96 divisors (see below), whose sum is σ = 57467497844736. Its totient is φ = 5790560400000.

The previous prime is 22443331443139. The next prime is 22443331443161. The reversal of 22443331443150 is 5134413334422.

It is an interprime number because it is at equal distance from previous prime (22443331443139) and next prime (22443331443161).

It is a junction number, because it is equal to n+sod(n) for n = 22443331443099 and 22443331443108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20822500 + ... + 21873800.

It is an arithmetic number, because the mean of its divisors is an integer number (598619769216).

Almost surely, 222443331443150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22443331443150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28733748922368).

22443331443150 is an abundant number, since it is smaller than the sum of its proper divisors (35024166401586).

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

22443331443150 is a wasteful number, since it uses less digits than its factorization.

22443331443150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055938 (or 1055933 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 22443331443150 its reverse (5134413334422), we get a palindrome (27577744777572).

The spelling of 22443331443150 in words is "twenty-two trillion, four hundred forty-three billion, three hundred thirty-one million, four hundred forty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1550 2325 4591 4650 9182 13773 22955 27546 45910 68865 114775 137730 142321 229550 284642 344325 426963 688650 711605 853926 1051301 1423210 2102602 2134815 3153903 3558025 4269630 5256505 6307806 7116050 10513010 10674075 15769515 21348150 26282525 31539030 32590331 52565050 65180662 78847575 97770993 157695150 162951655 195541986 325903310 488854965 814758275 977709930 1629516550 2444274825 4826522891 4888549650 9653045782 14479568673 24132614455 28959137346 48265228910 72397843365 120663072275 144795686730 149622209621 241326144550 299244419242 361989216825 448866628863 723978433650 748111048105 897733257726 1496222096210 2244333144315 3740555240525 4488666288630 7481110481050 11221665721575 22443331443150