Search a number
-
+
551341200 = 243523114821
BaseRepresentation
bin100000110111001…
…100110010010000
31102102110000221110
4200313030302100
52112120404300
6130413053320
716443215514
oct4067146220
91372400843
10551341200
11263243893
12134787240
138a2bcac7
145331c144
153360a550
hex20dccc90

551341200 has 120 divisors (see below), whose sum is σ = 1823224576. Its totient is φ = 142272000.

The previous prime is 551341171. The next prime is 551341207. The reversal of 551341200 is 2143155.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (551341207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29790 + ... + 44610.

Almost surely, 2551341200 is an apocalyptic number.

551341200 is a gapful number since it is divisible by the number (50) 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 551341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911612288).

551341200 is an abundant number, since it is smaller than the sum of its proper divisors (1271883376).

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

551341200 is a wasteful number, since it uses less digits than its factorization.

551341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14873 (or 14862 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 551341200 is about 23480.6558681822. The cubic root of 551341200 is about 819.9867140421.

Adding to 551341200 its reverse (2143155), we get a palindrome (553484355).

The spelling of 551341200 in words is "five hundred fifty-one million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 150 155 186 200 240 248 300 310 372 400 465 496 600 620 744 775 930 1200 1240 1488 1550 1860 2325 2480 3100 3720 4650 6200 7440 9300 12400 14821 18600 29642 37200 44463 59284 74105 88926 118568 148210 177852 222315 237136 296420 355704 370525 444630 459451 592840 711408 741050 889260 918902 1111575 1185680 1378353 1482100 1778520 1837804 2223150 2297255 2756706 2964200 3557040 3675608 4446300 4594510 5513412 5928400 6891765 7351216 8892600 9189020 11026824 11486275 13783530 17785200 18378040 22053648 22972550 27567060 34458825 36756080 45945100 55134120 68917650 91890200 110268240 137835300 183780400 275670600 551341200