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14946228 = 22331123547
BaseRepresentation
bin111001000000…
…111110110100
31001010100101000
4321000332310
512311234403
61252203300
7241020003
oct71007664
931110330
1014946228
118489360
125009530
13313402b
141db0c3a
1514a37a3
hexe40fb4

14946228 has 96 divisors (see below), whose sum is σ = 44190720. Its totient is φ = 4324320.

The previous prime is 14946221. The next prime is 14946229. The reversal of 14946228 is 82264941.

14946228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×149462283 (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 14946192 and 14946201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14946221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27051 + ... + 27597.

It is an arithmetic number, because the mean of its divisors is an integer number (460320).

Almost surely, 214946228 is an apocalyptic number.

14946228 is a gapful number since it is divisible by the number (18) 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 14946228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22095360).

14946228 is an abundant number, since it is smaller than the sum of its proper divisors (29244492).

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

14946228 is a wasteful number, since it uses less digits than its factorization.

14946228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 14946228 is about 3866.0351783190. The cubic root of 14946228 is about 246.3261586866.

The spelling of 14946228 in words is "fourteen million, nine hundred forty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 547 594 621 759 828 1012 1094 1188 1242 1518 1641 2188 2277 2484 3036 3282 4554 4923 6017 6564 6831 9108 9846 12034 12581 13662 14769 18051 19692 24068 25162 27324 29538 36102 37743 50324 54153 59076 72204 75486 108306 113229 138391 150972 162459 216612 226458 276782 324918 339687 415173 452916 553564 649836 679374 830346 1245519 1358748 1660692 2491038 3736557 4982076 7473114 14946228