Search a number
-
+
14224950 = 2335241257
BaseRepresentation
bin110110010000…
…111000110110
3222202200222000
4312100320312
512120144300
61224520130
7231624105
oct66207066
928680860
1014224950
118036463
124920046
132c4093c
141c6403c
1513aec00
hexd90e36

14224950 has 96 divisors (see below), whose sum is σ = 40309920. Its totient is φ = 3686400.

The previous prime is 14224943. The next prime is 14224957. The reversal of 14224950 is 5942241.

14224950 = 262 + 272 + ... + 3492.

14224950 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14224943) and next prime (14224957).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224957) 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, 55222 + ... + 55478.

It is an arithmetic number, because the mean of its divisors is an integer number (419895).

Almost surely, 214224950 is an apocalyptic number.

14224950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14224950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20154960).

14224950 is an abundant number, since it is smaller than the sum of its proper divisors (26084970).

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

14224950 is a wasteful number, since it uses less digits than its factorization.

14224950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14224950 is about 3771.5978046446. The cubic root of 14224950 is about 242.2982344119.

The spelling of 14224950 in words is "fourteen million, two hundred twenty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 41 45 50 54 75 82 90 123 135 150 205 225 246 257 270 369 410 450 514 615 675 738 771 1025 1107 1230 1285 1350 1542 1845 2050 2214 2313 2570 3075 3690 3855 4626 5535 6150 6425 6939 7710 9225 10537 11070 11565 12850 13878 18450 19275 21074 23130 27675 31611 34695 38550 52685 55350 57825 63222 69390 94833 105370 115650 158055 173475 189666 263425 284499 316110 346950 474165 526850 568998 790275 948330 1422495 1580550 2370825 2844990 4741650 7112475 14224950