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114224550 = 235211371871
BaseRepresentation
bin1101100111011…
…10110110100110
321221221012121220
412303232312212
5213220141200
615200121210
72554615116
oct663566646
9257835556
10114224550
1159527660
1232306206
131a8841bb
1411255046
15a0644a0
hex6ceeda6

114224550 has 96 divisors (see below), whose sum is σ = 317551104. Its totient is φ = 26928000.

The previous prime is 114224497. The next prime is 114224557. The reversal of 114224550 is 55422411.

It is a self number, because there is not a number n which added to its sum of digits gives 114224550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114224557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60115 + ... + 61985.

It is an arithmetic number, because the mean of its divisors is an integer number (3307824).

Almost surely, 2114224550 is an apocalyptic number.

114224550 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 114224550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158775552).

114224550 is an abundant number, since it is smaller than the sum of its proper divisors (203326554).

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

114224550 is a wasteful number, since it uses less digits than its factorization.

114224550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 114224550 is about 10687.5885961240. The cubic root of 114224550 is about 485.1989122804.

Adding to 114224550 its reverse (55422411), we get a palindrome (169646961).

The spelling of 114224550 in words is "one hundred fourteen million, two hundred twenty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 37 50 55 66 74 75 110 111 150 165 185 222 275 330 370 407 550 555 814 825 925 1110 1221 1650 1850 1871 2035 2442 2775 3742 4070 5550 5613 6105 9355 10175 11226 12210 18710 20350 20581 28065 30525 41162 46775 56130 61050 61743 69227 93550 102905 123486 138454 140325 205810 207681 280650 308715 346135 415362 514525 617430 692270 761497 1029050 1038405 1522994 1543575 1730675 2076810 2284491 3087150 3461350 3807485 4568982 5192025 7614970 10384050 11422455 19037425 22844910 38074850 57112275 114224550