Search a number
-
+
40222022204 = 227213115313691
BaseRepresentation
bin100101011101011010…
…110101101000111100
310211211010211102201002
4211131122311220330
51124333314202304
630251105305432
72622511355600
oct453532655074
9124733742632
1040222022204
1116070312671
127966335278
133a4007a550
141d37c83500
1510a624131e
hex95d6b5a3c

40222022204 has 72 divisors (see below), whose sum is σ = 88261972848. Its totient is φ = 15897047040.

The previous prime is 40222022201. The next prime is 40222022227.

40222022204 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×402220222042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40222022201) 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, 2930999 + ... + 2944689.

It is an arithmetic number, because the mean of its divisors is an integer number (1225860734).

Almost surely, 240222022204 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 40222022204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44130986424).

40222022204 is an abundant number, since it is smaller than the sum of its proper divisors (48039950644).

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

40222022204 is a wasteful number, since it uses less digits than its factorization.

40222022204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14875 (or 14866 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

It can be divided in two parts, 402220 and 22204, that added together give a palindrome (424424).

The spelling of 40222022204 in words is "forty billion, two hundred twenty-two million, twenty-two thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1153 1274 2306 2548 4612 8071 13691 14989 16142 27382 29978 32284 54764 56497 59956 95837 104923 112994 177983 191674 209846 225988 355966 383348 419692 670859 711932 734461 1245881 1341718 1468922 2491762 2683436 2937844 4983524 8721167 15785723 17442334 31571446 34884668 63142892 110500061 205214399 221000122 410428798 442000244 773500427 820857596 1436500793 1547000854 2873001586 3094001708 5746003172 10055505551 20111011102 40222022204