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4040400222 = 2323734917383
BaseRepresentation
bin1111000011010011…
…1001110101011110
3101102120201121010200
43300310321311132
531233320301342
61504531444330
7202060556325
oct36064716536
911376647120
104040400222
111793778541
129491566a6
134c50c8481
142a486d0bc
15189aa594c
hexf0d39d5e

4040400222 has 48 divisors (see below), whose sum is σ = 9017080800. Its totient is φ = 1306570176.

The previous prime is 4040400191. The next prime is 4040400223. The reversal of 4040400222 is 2220040404.

4040400222 is a `hidden beast` number, since 4 + 0 + 40 + 400 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4040400195 and 4040400204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040400223) 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 23 ways as a sum of consecutive naturals, for example, 223743 + ... + 241125.

It is an arithmetic number, because the mean of its divisors is an integer number (187855850).

Almost surely, 24040400222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040400222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508540400).

4040400222 is an abundant number, since it is smaller than the sum of its proper divisors (4976680578).

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

4040400222 is a wasteful number, since it uses less digits than its factorization.

4040400222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17777 (or 17774 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4040400222 is about 63564.1425805461. The cubic root of 4040400222 is about 1592.7274393204.

Adding to 4040400222 its reverse (2220040404), we get a palindrome (6260440626).

The spelling of 4040400222 in words is "four billion, forty million, four hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 349 666 698 1047 2094 3141 6282 12913 17383 25826 34766 38739 52149 77478 104298 116217 156447 232434 312894 643171 1286342 1929513 3859026 5788539 6066667 11577078 12133334 18200001 36400002 54600003 109200006 224466679 448933358 673400037 1346800074 2020200111 4040400222