Search a number
-
+
155300200 = 23521173967
BaseRepresentation
bin10010100000110…
…11000101101000
3101211020001211021
421100123011220
5304224101300
623224342224
73564013156
oct1120330550
9354201737
10155300200
117a732380
1244014974
1326236513
14168a83d6
15d979d1a
hex941b168

155300200 has 96 divisors (see below), whose sum is σ = 399706560. Its totient is φ = 55641600.

The previous prime is 155300141. The next prime is 155300227. The reversal of 155300200 is 2003551.

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 23 ways as a sum of consecutive naturals, for example, 160117 + ... + 161083.

It is an arithmetic number, because the mean of its divisors is an integer number (4163610).

Almost surely, 2155300200 is an apocalyptic number.

155300200 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 155300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199853280).

155300200 is an abundant number, since it is smaller than the sum of its proper divisors (244406360).

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

155300200 is a wasteful number, since it uses less digits than its factorization.

155300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 155300200 is about 12461.9500881684. The cubic root of 155300200 is about 537.5151032352.

Adding to 155300200 its reverse (2003551), we get a palindrome (157303751).

The spelling of 155300200 in words is "one hundred fifty-five million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 73 88 100 110 146 200 220 275 292 365 440 550 584 730 803 967 1100 1460 1606 1825 1934 2200 2920 3212 3650 3868 4015 4835 6424 7300 7736 8030 9670 10637 14600 16060 19340 20075 21274 24175 32120 38680 40150 42548 48350 53185 70591 80300 85096 96700 106370 141182 160600 193400 212740 265925 282364 352955 425480 531850 564728 705910 776501 1063700 1411820 1553002 1764775 2127400 2823640 3106004 3529550 3882505 6212008 7059100 7765010 14118200 15530020 19412525 31060040 38825050 77650100 155300200