Search a number
-
+
2132050230 = 2325191976329
BaseRepresentation
bin111111100010100…
…1000000100110110
312111120211101002100
41333011020010312
513331301101410
6551321122530
7103556061612
oct17705100466
95446741070
102132050230
119a4539992
124b6029446
1327c9300ab
14163230342
15c72988c0
hex7f148136

2132050230 has 96 divisors (see below), whose sum is σ = 5865631200. Its totient is φ = 535804416.

The previous prime is 2132050201. The next prime is 2132050243. The reversal of 2132050230 is 320502312.

2132050230 is a `hidden beast` number, since 2 + 132 + 0 + 502 + 30 = 666.

It is a super-4 number, since 4×21320502304 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333706 + ... + 340034.

It is an arithmetic number, because the mean of its divisors is an integer number (61100325).

Almost surely, 22132050230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132050230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932815600).

2132050230 is an abundant number, since it is smaller than the sum of its proper divisors (3733580970).

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

2132050230 is a wasteful number, since it uses less digits than its factorization.

2132050230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6558 (or 6555 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2132050230 is about 46174.1294449608. The cubic root of 2132050230 is about 1287.0610396625.

Adding to 2132050230 its reverse (320502312), we get a palindrome (2452552542).

The spelling of 2132050230 in words is "two billion, one hundred thirty-two million, fifty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 197 285 342 394 570 591 855 985 1182 1710 1773 1970 2955 3546 3743 5910 6329 7486 8865 11229 12658 17730 18715 18987 22458 31645 33687 37430 37974 56145 56961 63290 67374 94935 112290 113922 120251 168435 189870 240502 284805 336870 360753 569610 601255 721506 1082259 1202510 1246813 1803765 2164518 2493626 3607530 3740439 5411295 6234065 7480878 10822590 11221317 12468130 18702195 22442634 23689447 37404390 47378894 56106585 71068341 112213170 118447235 142136682 213205023 236894470 355341705 426410046 710683410 1066025115 2132050230