Search a number
-
+
155146200 = 233521122137
BaseRepresentation
bin10010011111101…
…01011111011000
3101210221020120120
421033311133120
5304204134300
623221153240
73562502166
oct1117653730
9353836516
10155146200
117a637700
1243b5b820
13261b13b1
1416868236
15d9493a0
hex93f57d8

155146200 has 144 divisors (see below), whose sum is σ = 528898440. Its totient is φ = 37593600.

The previous prime is 155146183. The next prime is 155146231. The reversal of 155146200 is 2641551.

Adding to 155146200 its reverse (2641551), we get a palindrome (157787751).

155146200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 71532 + ... + 73668.

Almost surely, 2155146200 is an apocalyptic number.

155146200 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 155146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264449220).

155146200 is an abundant number, since it is smaller than the sum of its proper divisors (373752240).

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

155146200 is a wasteful number, since it uses less digits than its factorization.

155146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 155146200 is about 12455.7697473902. The cubic root of 155146200 is about 537.3373728301.

The spelling of 155146200 in words is "one hundred fifty-five million, one hundred forty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2137 2200 2420 2904 3025 3300 3630 4274 4840 6050 6411 6600 7260 8548 9075 10685 12100 12822 14520 17096 18150 21370 23507 24200 25644 32055 36300 42740 47014 51288 53425 64110 70521 72600 85480 94028 106850 117535 128220 141042 160275 188056 213700 235070 256440 258577 282084 320550 352605 427400 470140 517154 564168 587675 641100 705210 775731 940280 1034308 1175350 1282200 1292885 1410420 1551462 1763025 2068616 2350700 2585770 2820840 3102924 3526050 3878655 4701400 5171540 6205848 6464425 7052100 7757310 10343080 12928850 14104200 15514620 19393275 25857700 31029240 38786550 51715400 77573100 155146200