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4022442468 = 22321111389891
BaseRepresentation
bin1110111111000001…
…1001100111100100
3101101022221020201200
43233300121213210
531214221124333
61503050522500
7201452124342
oct35760314744
911338836650
104022442468
111784622620
12943136430
134c147b795
142a2316992
15188209c13
hexefc199e4

4022442468 has 72 divisors (see below), whose sum is σ = 11190475296. Its totient is φ = 1208121600.

The previous prime is 4022442467. The next prime is 4022442491. The reversal of 4022442468 is 8642442204.

It is a happy number.

4022442468 is a `hidden beast` number, since 4 + 0 + 224 + 424 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4022442467) 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, 198 + ... + 89693.

It is an arithmetic number, because the mean of its divisors is an integer number (155423268).

Almost surely, 24022442468 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 4022442468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595237648).

4022442468 is an abundant number, since it is smaller than the sum of its proper divisors (7168032828).

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

4022442468 is a wasteful number, since it uses less digits than its factorization.

4022442468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90025 (or 90020 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 4022442468 is about 63422.7283235277. The cubic root of 4022442468 is about 1590.3642834488.

The spelling of 4022442468 in words is "four billion, twenty-two million, four hundred forty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 678 1017 1243 1356 2034 2486 3729 4068 4972 7458 11187 14916 22374 44748 89891 179782 269673 359564 539346 809019 988801 1078692 1618038 1977602 2966403 3236076 3955204 5932806 8899209 10157683 11865612 17798418 20315366 30473049 35596836 40630732 60946098 91419147 111734513 121892196 182838294 223469026 335203539 365676588 446938052 670407078 1005610617 1340814156 2011221234 4022442468