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2152531350 = 2325211342331
BaseRepresentation
bin1000000001001101…
…0000010110010110
312120000100220220100
42000103100112112
513402022000400
6553332114530
7104225133414
oct20023202626
95500326810
102152531350
11a05058732
12500a65a46
13283c514b8
14165c422b4
15c8e92100
hex804d0596

2152531350 has 72 divisors (see below), whose sum is σ = 5834450232. Its totient is φ = 568915200.

The previous prime is 2152531327. The next prime is 2152531357. The reversal of 2152531350 is 531352512.

It is a happy number.

2152531350 is a `hidden beast` number, since 2 + 1 + 525 + 3 + 135 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152531357) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 29685 + ... + 72015.

It is an arithmetic number, because the mean of its divisors is an integer number (81034031).

Almost surely, 22152531350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152531350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917225116).

2152531350 is an abundant number, since it is smaller than the sum of its proper divisors (3681918882).

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

2152531350 is a wasteful number, since it uses less digits than its factorization.

2152531350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42462 (or 42454 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2152531350 is about 46395.3806967892. The cubic root of 2152531350 is about 1291.1692121649.

Adding to 2152531350 its reverse (531352512), we get a palindrome (2683883862).

The spelling of 2152531350 in words is "two billion, one hundred fifty-two million, five hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 113 150 225 226 339 450 565 678 1017 1130 1695 2034 2825 3390 5085 5650 8475 10170 16950 25425 42331 50850 84662 126993 211655 253986 380979 423310 634965 761958 1058275 1269930 1904895 2116550 3174825 3809790 4783403 6349650 9524475 9566806 14350209 19048950 23917015 28700418 43050627 47834030 71751045 86101254 119585075 143502090 215253135 239170150 358755225 430506270 717510450 1076265675 2152531350