Search a number
-
+
150230800 = 24524761131
BaseRepresentation
bin10001111010001…
…01011100010000
3101110200111220201
420331011130100
5301424341200
622523544544
73502640446
oct1075053420
9343614821
10150230800
117788a695
124238b154
132517cc85
1415d48b96
15d2c7c6a
hex8f45710

150230800 has 120 divisors (see below), whose sum is σ = 377511552. Its totient is φ = 57408000.

The previous prime is 150230789. The next prime is 150230807. The reversal of 150230800 is 8032051.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (150230807) 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, 1146735 + ... + 1146865.

Almost surely, 2150230800 is an apocalyptic number.

150230800 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 150230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188755776).

150230800 is an abundant number, since it is smaller than the sum of its proper divisors (227280752).

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

150230800 is a wasteful number, since it uses less digits than its factorization.

150230800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 150230800 is about 12256.8674627737. The cubic root of 150230800 is about 531.6016578282.

Adding to 150230800 its reverse (8032051), we get a palindrome (158262851).

The spelling of 150230800 in words is "one hundred fifty million, two hundred thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 61 80 94 100 122 131 188 200 235 244 262 305 376 400 470 488 524 610 655 752 940 976 1048 1175 1220 1310 1525 1880 2096 2350 2440 2620 2867 3050 3275 3760 4700 4880 5240 5734 6100 6157 6550 7991 9400 10480 11468 12200 12314 13100 14335 15982 18800 22936 24400 24628 26200 28670 30785 31964 39955 45872 49256 52400 57340 61570 63928 71675 79910 98512 114680 123140 127856 143350 153925 159820 199775 229360 246280 286700 307850 319640 375577 399550 492560 573400 615700 639280 751154 799100 1146800 1231400 1502308 1598200 1877885 2462800 3004616 3196400 3755770 6009232 7511540 9389425 15023080 18778850 30046160 37557700 75115400 150230800