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40204220022 = 2335931813967
BaseRepresentation
bin100101011100010110…
…111011011001110110
310211202220022222201000
4211130112323121312
51124314240020042
630245231544130
72622204142311
oct453426733166
9124686288630
1040204220022
111606126361a
12796038b046
133a39486605
141d3576b978
1510a48c674c
hex95c5bb676

40204220022 has 64 divisors (see below), whose sum is σ = 90908467200. Its totient is φ = 13166802720.

The previous prime is 40204220009. The next prime is 40204220029. The reversal of 40204220022 is 22002240204.

40204220022 is a `hidden beast` number, since 402 + 0 + 42 + 200 + 22 = 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 = 40204219977 and 40204220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40204220029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10132683 + ... + 10136649.

It is an arithmetic number, because the mean of its divisors is an integer number (1420444800).

Almost surely, 240204220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40204220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45454233600).

40204220022 is an abundant number, since it is smaller than the sum of its proper divisors (50704247178).

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

40204220022 is a wasteful number, since it uses less digits than its factorization.

40204220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7212 counting only the distinct ones).

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

Adding to 40204220022 its reverse (22002240204), we get a palindrome (62206460226).

The spelling of 40204220022 in words is "forty billion, two hundred four million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 3181 3186 3967 6362 7934 9543 11901 19086 23802 28629 35703 57258 71406 85887 107109 171774 187679 214218 234053 375358 468106 563037 702159 1126074 1404318 1689111 2106477 3378222 4212954 5067333 6319431 10134666 12619027 12638862 25238054 37857081 75714162 113571243 227142486 340713729 681427458 744522593 1489045186 2233567779 4467135558 6700703337 13401406674 20102110011 40204220022