Search a number
-
+
2233137141 = 33292852027
BaseRepresentation
bin1000010100011010…
…1111011111110101
312202122001010021000
42011012233133311
514033140342031
61005331513513
7106224231624
oct20506573765
95678033230
102233137141
11a46602a94
12523a58899
13297864531
141728256bb
15d10b53e6
hex851af7f5

2233137141 has 16 divisors (see below), whose sum is σ = 3422433600. Its totient is φ = 1437421104.

The previous prime is 2233137133. The next prime is 2233137157. The reversal of 2233137141 is 1417313322.

It is a happy number.

2233137141 is a `hidden beast` number, since 223 + 31 + 371 + 41 = 666.

It is not a de Polignac number, because 2233137141 - 23 = 2233137133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233137041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425231 + ... + 1426796.

It is an arithmetic number, because the mean of its divisors is an integer number (213902100).

Almost surely, 22233137141 is an apocalyptic number.

It is an amenable number.

2233137141 is a deficient number, since it is larger than the sum of its proper divisors (1189296459).

2233137141 is a wasteful number, since it uses less digits than its factorization.

2233137141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852065 (or 2852059 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2233137141 is about 47256.0804659041. The cubic root of 2233137141 is about 1307.0889150236.

The spelling of 2233137141 in words is "two billion, two hundred thirty-three million, one hundred thirty-seven thousand, one hundred forty-one".

Divisors: 1 3 9 27 29 87 261 783 2852027 8556081 25668243 77004729 82708783 248126349 744379047 2233137141