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4228998224 = 2411235917707
BaseRepresentation
bin1111110000010001…
…0110010001010000
3101220201121100221212
43330010112101100
532130110420344
61535350035252
7206540614613
oct37404262120
911821540855
104228998224
111880182a60
129a0348b28
135251bca19
142c192417a
1519b40b79e
hexfc116450

4228998224 has 80 divisors (see below), whose sum is σ = 9485821440. Its totient is φ = 1807428480.

The previous prime is 4228998223. The next prime is 4228998239.

It is a happy number.

4228998224 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228998223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229979 + ... + 247685.

It is an arithmetic number, because the mean of its divisors is an integer number (118572768).

Almost surely, 24228998224 is an apocalyptic number.

4228998224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4228998224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742910720).

4228998224 is an abundant number, since it is smaller than the sum of its proper divisors (5256823216).

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

4228998224 is a wasteful number, since it uses less digits than its factorization.

4228998224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17808 (or 17802 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 4228998224 is about 65030.7482964790. The cubic root of 4228998224 is about 1617.1333523455.

The spelling of 4228998224 in words is "four billion, two hundred twenty-eight million, nine hundred ninety-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 59 88 92 118 176 184 236 253 368 472 506 649 944 1012 1298 1357 2024 2596 2714 4048 5192 5428 10384 10856 14927 17707 21712 29854 35414 59708 70828 119416 141656 194777 238832 283312 389554 407261 779108 814522 1044713 1558216 1629044 2089426 3116432 3258088 4178852 4479871 6516176 8357704 8959742 11491843 16715408 17919484 22983686 24028399 35838968 45967372 48056798 71677936 91934744 96113596 183869488 192227192 264312389 384454384 528624778 1057249556 2114499112 4228998224