Search a number
-
+
2153023365 = 352941611979
BaseRepresentation
bin1000000001010100…
…1000011110000101
312120001021220211010
42000111020132011
513402133221430
6553350432433
7104232253023
oct20025103605
95501256733
102153023365
11a05364359
12501062719
1328409442c
14165d2d713
15c903ccb0
hex80548785

2153023365 has 64 divisors (see below), whose sum is σ = 3712262400. Its totient is φ = 1063372800.

The previous prime is 2153023343. The next prime is 2153023381. The reversal of 2153023365 is 5633203512.

It is not a de Polignac number, because 2153023365 - 211 = 2153021317 is a prime.

It is a super-2 number, since 2×21530233652 = 9271019220471846450, which contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1086946 + ... + 1088924.

It is an arithmetic number, because the mean of its divisors is an integer number (58004100).

Almost surely, 22153023365 is an apocalyptic number.

It is an amenable number.

2153023365 is a deficient number, since it is larger than the sum of its proper divisors (1559239035).

2153023365 is a wasteful number, since it uses less digits than its factorization.

2153023365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118.

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 2153023365 is about 46400.6828074760. The cubic root of 2153023365 is about 1291.2675810339.

Adding to 2153023365 its reverse (5633203512), we get a palindrome (7786226877).

The spelling of 2153023365 in words is "two billion, one hundred fifty-three million, twenty-three thousand, three hundred sixty-five".

Divisors: 1 3 5 15 29 41 61 87 123 145 183 205 305 435 615 915 1189 1769 1979 2501 3567 5307 5937 5945 7503 8845 9895 12505 17835 26535 29685 37515 57391 72529 81139 120719 172173 217587 243417 286955 362157 362645 405695 603595 860865 1087935 1217085 1810785 2353031 3500851 4949479 7059093 10502553 11765155 14848437 17504255 24747395 35295465 52512765 74242185 143534891 430604673 717674455 2153023365