Search a number
-
+
40222022420 = 22510918450469
BaseRepresentation
bin100101011101011010…
…110101101100010100
310211211010211110000002
4211131122311230110
51124333314204140
630251105310432
72622511356326
oct453532655424
9124733743002
1040222022420
1116070312848
127966335418
133a4007a688
141d37c83616
1510a6241415
hex95d6b5b14

40222022420 has 24 divisors (see below), whose sum is σ = 85241171400. Its totient is φ = 15941204352.

The previous prime is 40222022371. The next prime is 40222022429. The reversal of 40222022420 is 2422022204.

It can be written as a sum of positive squares in 4 ways, for example, as 1189698064 + 39032324356 = 34492^2 + 197566^2 .

It is a super-2 number, since 2×402220224202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40222022392 and 40222022401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40222022429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9223055 + ... + 9227414.

It is an arithmetic number, because the mean of its divisors is an integer number (3551715475).

Almost surely, 240222022420 is an apocalyptic number.

It is an amenable number.

40222022420 is an abundant number, since it is smaller than the sum of its proper divisors (45019148980).

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

40222022420 is a wasteful number, since it uses less digits than its factorization.

40222022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18450587 (or 18450585 counting only the distinct ones).

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

Adding to 40222022420 its reverse (2422022204), we get a palindrome (42644044624).

The spelling of 40222022420 in words is "forty billion, two hundred twenty-two million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 18450469 36900938 73801876 92252345 184504690 369009380 2011101121 4022202242 8044404484 10055505605 20111011210 40222022420