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4228336080 = 243551991093
BaseRepresentation
bin1111110000000111…
…0100100111010000
3101220200100201200000
43330001310213100
532124423223310
61535323530000
7206532156303
oct37401644720
911820321600
104228336080
11187a870531
129a0089900
1352501a517
142c17d0b3a
1519b32a4c0
hexfc0749d0

4228336080 has 240 divisors, whose sum is σ = 14813635200. Its totient is φ = 1120863744.

The previous prime is 4228336009. The next prime is 4228336087. The reversal of 4228336080 is 806338224.

4228336080 is a `hidden beast` number, since 42 + 2 + 8 + 3 + 3 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228336087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3868014 + ... + 3869106.

It is an arithmetic number, because the mean of its divisors is an integer number (61723480).

Almost surely, 24228336080 is an apocalyptic number.

4228336080 is a gapful number since it is divisible by the number (40) 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 4228336080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406817600).

4228336080 is an abundant number, since it is smaller than the sum of its proper divisors (10585299120).

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

4228336080 is a wasteful number, since it uses less digits than its factorization.

4228336080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4228336080 is about 65025.6570901056. The cubic root of 4228336080 is about 1617.0489485081.

The spelling of 4228336080 in words is "four billion, two hundred twenty-eight million, three hundred thirty-six thousand, eighty".