Search a number
-
+
2052204532 = 2272331310181
BaseRepresentation
bin111101001010010…
…0010011111110100
312022000120210101021
41322110202133310
513200331021112
6535345510524
7101566310410
oct17224423764
95260523337
102052204532
11963463704
12493342444
13269225011
141567a7d40
15c0275907
hex7a5227f4

2052204532 has 48 divisors (see below), whose sum is σ = 4296966912. Its totient is φ = 838506240.

The previous prime is 2052204527. The next prime is 2052204559. The reversal of 2052204532 is 2354022502.

It is a happy number.

It is a super-2 number, since 2×20522045322 = 8423086882322678048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2052204497 and 2052204506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196482 + ... + 206662.

It is an arithmetic number, because the mean of its divisors is an integer number (89520144).

Almost surely, 22052204532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052204532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148483456).

2052204532 is an abundant number, since it is smaller than the sum of its proper divisors (2244762380).

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

2052204532 is a wasteful number, since it uses less digits than its factorization.

2052204532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10528 (or 10526 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2052204532 is about 45301.2641324721. The cubic root of 2052204532 is about 1270.7892942183.

The spelling of 2052204532 in words is "two billion, fifty-two million, two hundred four thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 313 322 626 644 1252 2191 4382 7199 8764 10181 14398 20362 28796 40724 50393 71267 100786 142534 201572 234163 285068 468326 936652 1639141 3186653 3278282 6373306 6556564 12746612 22306571 44613142 73293019 89226284 146586038 293172076 513051133 1026102266 2052204532