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228427143620 = 2251323231116529
BaseRepresentation
bin1101010010111101010…
…0011001100111000100
3210211121110222012112112
43110233110121213010
512220304322043440
6252534334240152
722334431453514
oct3245724314704
9724543865475
10228427143620
118896a192a25
123832b956058
1318704893310
14b0ad69d844
155e1de61965
hex352f5199c4

228427143620 has 96 divisors (see below), whose sum is σ = 539323384320. Its totient is φ = 80635484160.

The previous prime is 228427143613. The next prime is 228427143667. The reversal of 228427143620 is 26341724822.

228427143620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13811516 + ... + 13828044.

It is an arithmetic number, because the mean of its divisors is an integer number (5617951920).

Almost surely, 2228427143620 is an apocalyptic number.

228427143620 is a gapful number since it is divisible by the number (20) 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 228427143620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269661692160).

228427143620 is an abundant number, since it is smaller than the sum of its proper divisors (310896240700).

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

228427143620 is a wasteful number, since it uses less digits than its factorization.

228427143620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18885 (or 18883 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The spelling of 228427143620 in words is "two hundred twenty-eight billion, four hundred twenty-seven million, one hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2311 2990 4622 5980 9244 11555 16529 23110 30043 33058 46220 53153 60086 66116 82645 106306 120172 150215 165290 212612 214877 265765 300430 330580 380167 429754 531530 600860 690989 760334 859508 1063060 1074385 1381978 1520668 1900835 2148770 2763956 3454945 3801670 4297540 4942171 6909890 7603340 9884342 13819780 19768684 24710855 38198519 49421710 76397038 98843420 152794076 190992595 381985190 496580747 763970380 878565937 993161494 1757131874 1986322988 2482903735 3514263748 4392829685 4965807470 8785659370 9931614940 11421357181 17571318740 22842714362 45685428724 57106785905 114213571810 228427143620