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4040222064 = 2433113719819
BaseRepresentation
bin1111000011010000…
…1110010101110000
3101102120101112202020
43300310032111300
531233244101224
61504523551440
7202056215034
oct36064162560
911376345666
104040222064
1117936666aa
1294908b580
134c5065358
142a48241c4
15189a6cc79
hexf0d0e570

4040222064 has 80 divisors (see below), whose sum is σ = 10853114880. Its totient is φ = 1293719040.

The previous prime is 4040222059. The next prime is 4040222077. The reversal of 4040222064 is 4602220404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193947 + ... + 213765.

It is an arithmetic number, because the mean of its divisors is an integer number (135663936).

Almost surely, 24040222064 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 4040222064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426557440).

4040222064 is an abundant number, since it is smaller than the sum of its proper divisors (6812892816).

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

4040222064 is a wasteful number, since it uses less digits than its factorization.

4040222064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19998 (or 19992 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4040222064 is about 63562.7411617844. The cubic root of 4040222064 is about 1592.7040289905.

Adding to 4040222064 its reverse (4602220404), we get a palindrome (8642442468).

The spelling of 4040222064 in words is "four billion, forty million, two hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 137 186 248 274 372 411 496 548 744 822 1096 1488 1644 2192 3288 4247 6576 8494 12741 16988 19819 25482 33976 39638 50964 59457 67952 79276 101928 118914 158552 203856 237828 317104 475656 614389 951312 1228778 1843167 2457556 2715203 3686334 4915112 5430406 7372668 8145609 9830224 10860812 14745336 16291218 21721624 29490672 32582436 43443248 65164872 84171293 130329744 168342586 252513879 336685172 505027758 673370344 1010055516 1346740688 2020111032 4040222064