Search a number
-
+
22204022040222 = 23112831636922511
BaseRepresentation
bin1010000110001110001101…
…10110001010011010011110
32220121200110110202212001220
411003013012312022122132
510402242314120241342
6115120215323314210
74451121236164521
oct503070666123236
986550413685056
1022204022040222
117090744647400
1225a735607b966
13c50aa4204919
1456a97503cbb8
1528789e4635ec
hex1431c6d8a69e

22204022040222 has 96 divisors (see below), whose sum is σ = 49405458332160. Its totient is φ = 6646723987200.

The previous prime is 22204022040217. The next prime is 22204022040229.

22204022040222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22204022040192 and 22204022040201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22204022040229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986351947 + ... + 986374457.

It is an arithmetic number, because the mean of its divisors is an integer number (514640190960).

Almost surely, 222204022040222 is an apocalyptic number.

22204022040222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22204022040222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24702729166080).

22204022040222 is an abundant number, since it is smaller than the sum of its proper divisors (27201436291938).

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

22204022040222 is a wasteful number, since it uses less digits than its factorization.

22204022040222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38990 (or 38979 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, 2220402 and 2040222, that added together give a palindrome (4260624).

The spelling of 22204022040222 in words is "twenty-two trillion, two hundred four billion, twenty-two million, forty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 83 121 166 242 249 363 498 726 913 1826 2739 5478 10043 16369 20086 22511 30129 32738 45022 49107 60258 67533 98214 135066 180059 247621 360118 495242 540177 742863 1080354 1358627 1485726 1868413 1980649 2717254 2723831 3736826 3961298 4075881 5447662 5605239 5941947 8151762 8171493 11210478 11883894 14944897 16342986 20552543 29889794 41105086 44834691 61657629 89669382 123315258 164393867 226077973 328787734 368482559 452155946 493181601 678233919 736965118 986363202 1105447677 1356467838 2210895354 4053308149 8106616298 12159924447 24319848894 30584052397 44586389639 61168104794 89172779278 91752157191 133759168917 183504314382 267518337834 336424576367 672849152734 1009273729101 2018547458202 3700670340037 7401340680074 11102011020111 22204022040222