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228654426 = 237112133461
BaseRepresentation
bin11011010000011…
…11110101011010
3120221020211220110
431220033311122
5432013420201
634404505150
75444346660
oct1550176532
9527224813
10228654426
11108084500
12646ab1b6
13384aa9a0
1422520c30
15151196d6
hexda0fd5a

228654426 has 96 divisors (see below), whose sum is σ = 618839424. Its totient is φ = 54806400.

The previous prime is 228654397. The next prime is 228654427. The reversal of 228654426 is 624456822.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (228654427) 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, 64336 + ... + 67796.

It is an arithmetic number, because the mean of its divisors is an integer number (6446244).

Almost surely, 2228654426 is an apocalyptic number.

228654426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 228654426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309419712).

228654426 is an abundant number, since it is smaller than the sum of its proper divisors (390184998).

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

228654426 is a wasteful number, since it uses less digits than its factorization.

228654426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3497 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 228654426 is about 15121.3235531814. The cubic root of 228654426 is about 611.4954136847.

The spelling of 228654426 in words is "two hundred twenty-eight million, six hundred fifty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2541 3003 3146 3461 4719 5082 6006 6922 9438 10383 11011 20766 22022 24227 33033 38071 44993 48454 66066 72681 76142 89986 114213 134979 145362 228426 266497 269958 314951 418781 494923 532994 629902 799491 837562 944853 989846 1256343 1484769 1598982 1889706 2512686 2931467 2969538 3464461 5444153 5862934 6928922 8794401 10393383 10888306 16332459 17588802 20786766 32664918 38109071 76218142 114327213 228654426