Search a number
-
+
14422500 = 223254641
BaseRepresentation
bin110111000001…
…000111100100
31000010201221200
4313001013210
512143010000
61233042500
7233406051
oct67010744
930121850
1014422500
118160924
1249b6430
132cac831
141cb6028
1513ed500
hexdc11e4

14422500 has 90 divisors (see below), whose sum is σ = 45627582. Its totient is φ = 3840000.

The previous prime is 14422481. The next prime is 14422523. The reversal of 14422500 is 522441.

14422500 is a `hidden beast` number, since 144 + 22 + 500 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2643876 + 11778624 = 1626^2 + 3432^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22180 + ... + 22820.

Almost surely, 214422500 is an apocalyptic number.

14422500 is a gapful number since it is divisible by the number (10) 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 14422500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22813791).

14422500 is an abundant number, since it is smaller than the sum of its proper divisors (31205082).

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

14422500 is a wasteful number, since it uses less digits than its factorization.

14422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 14422500 is about 3797.6966703516. The cubic root of 14422500 is about 243.4147264256.

Adding to 14422500 its reverse (522441), we get a palindrome (14944941).

It can be divided in two parts, 144 and 22500, that multiplied together give a square (3240000 = 18002).

The spelling of 14422500 in words is "fourteen million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 641 750 900 1125 1250 1282 1500 1875 1923 2250 2500 2564 3205 3750 3846 4500 5625 5769 6410 7500 7692 9615 11250 11538 12820 16025 19230 22500 23076 28845 32050 38460 48075 57690 64100 80125 96150 115380 144225 160250 192300 240375 288450 320500 400625 480750 576900 721125 801250 961500 1201875 1442250 1602500 2403750 2884500 3605625 4807500 7211250 14422500