Search a number
-
+
36522252 = 22341322329
BaseRepresentation
bin1000101101010…
…0100100001100
32112201112010000
42023110210030
533322203002
63342444300
7622301604
oct213244414
975645100
1036522252
1119685788
1210293690
137749900
144bc9c04
15331661c
hex22d490c

36522252 has 180 divisors, whose sum is σ = 111600720. Its totient is φ = 10378368.

The previous prime is 36522221. The next prime is 36522259. The reversal of 36522252 is 25222563.

36522252 is a `hidden beast` number, since 3 + 652 + 2 + 2 + 5 + 2 = 666.

It is a super-3 number, since 3×365222523 (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36522259) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1259374 + ... + 1259402.

It is an arithmetic number, because the mean of its divisors is an integer number (620004).

Almost surely, 236522252 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 36522252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800360).

36522252 is an abundant number, since it is smaller than the sum of its proper divisors (75078468).

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

36522252 is a wasteful number, since it uses less digits than its factorization.

36522252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 36522252 is about 6043.3642948278. The cubic root of 36522252 is about 331.7817673568.

The spelling of 36522252 in words is "thirty-six million, five hundred twenty-two thousand, two hundred fifty-two".