Search a number
-
+
2152514034 = 2331133710753
BaseRepresentation
bin1000000001001100…
…1100000111110010
312120000100001011000
42000103030013302
513402020422114
6553331502430
7104225032056
oct20023140762
95500301130
102152514034
11a05046720
12500a57a16
13283c46658
14165c39c66
15c8e8be09
hex804cc1f2

2152514034 has 64 divisors (see below), whose sum is σ = 5234186880. Its totient is φ = 650280960.

The previous prime is 2152514011. The next prime is 2152514113. The reversal of 2152514034 is 4304152512.

2152514034 is a `hidden beast` number, since 2 + 1 + 5 + 251 + 403 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2152513989 and 2152514007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194802 + ... + 205554.

It is an arithmetic number, because the mean of its divisors is an integer number (81784170).

Almost surely, 22152514034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152514034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617093440).

2152514034 is an abundant number, since it is smaller than the sum of its proper divisors (3081672846).

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

2152514034 is a wasteful number, since it uses less digits than its factorization.

2152514034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112 (or 11106 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2152514034 is about 46395.1940830082. The cubic root of 2152514034 is about 1291.1657498930.

Adding to 2152514034 its reverse (4304152512), we get a palindrome (6456666546).

The spelling of 2152514034 in words is "two billion, one hundred fifty-two million, five hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 337 594 674 1011 2022 3033 3707 6066 7414 9099 10753 11121 18198 21506 22242 32259 33363 64518 66726 96777 100089 118283 193554 200178 236566 290331 354849 580662 709698 1064547 2129094 3193641 3623761 6387282 7247522 10871283 21742566 32613849 39861371 65227698 79722742 97841547 119584113 195683094 239168226 358752339 717504678 1076257017 2152514034