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3225152 = 26723313
BaseRepresentation
bin1100010011011001000000
320001212002002
430103121000
51311201102
6153043132
736261530
oct14233100
96055062
103225152
111903117
1210b64a8
1388bc98
145dd4c0
1543a902
hex313640

3225152 has 56 divisors (see below), whose sum is σ = 7656576. Its totient is φ = 1317888.

The previous prime is 3225151. The next prime is 3225161. The reversal of 3225152 is 2515223.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (3225151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10148 + ... + 10460.

Almost surely, 23225152 is an apocalyptic number.

3225152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828288).

3225152 is an abundant number, since it is smaller than the sum of its proper divisors (4431424).

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

3225152 is a wasteful number, since it uses less digits than its factorization.

3225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 3225152 is about 1795.8708194077. The cubic root of 3225152 is about 147.7463392941.

It can be divided in two parts, 322 and 5152, that multiplied together give a square (1658944 = 12882).

The spelling of 3225152 in words is "three million, two hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 313 322 368 448 626 644 736 1252 1288 1472 2191 2504 2576 4382 5008 5152 7199 8764 10016 10304 14398 17528 20032 28796 35056 50393 57592 70112 100786 115184 140224 201572 230368 403144 460736 806288 1612576 3225152