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4228180908 = 2237175475413
BaseRepresentation
bin1111110000000100…
…1110101110101100
3101220200001211210220
43330001032232230
532124403242113
61535320331340
7206530642020
oct37401165654
911820054726
104228180908
11187a774996
129a0013b50
13524c949c3
142c1790380
1519b2e9523
hexfc04ebac

4228180908 has 96 divisors (see below), whose sum is σ = 11962427904. Its totient is φ = 1134701568.

The previous prime is 4228180843. The next prime is 4228180921. The reversal of 4228180908 is 8090818224.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4228180908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778410 + ... + 783822.

It is an arithmetic number, because the mean of its divisors is an integer number (124608624).

Almost surely, 24228180908 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 4228180908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981213952).

4228180908 is an abundant number, since it is smaller than the sum of its proper divisors (7734246996).

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

4228180908 is a wasteful number, since it uses less digits than its factorization.

4228180908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 4228180908 is about 65024.4639193588. The cubic root of 4228180908 is about 1617.0291673787.

It can be divided in two parts, 4228 and 180908, that added together give a triangular number (185136 = T608).

The spelling of 4228180908 in words is "four billion, two hundred twenty-eight million, one hundred eighty thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 547 714 1094 1428 1641 2188 3282 3829 5413 6564 7658 9299 10826 11487 15316 16239 18598 21652 22974 27897 32478 37196 37891 45948 55794 64956 65093 75782 92021 111588 113673 130186 151564 184042 195279 227346 260372 276063 368084 390558 454692 552126 644147 781116 1104252 1288294 1932441 2576588 2960911 3864882 5921822 7729764 8882733 11843644 17765466 20726377 35530932 41452754 50335487 62179131 82905508 100670974 124358262 151006461 201341948 248716524 302012922 352348409 604025844 704696818 1057045227 1409393636 2114090454 4228180908