Search a number
-
+
33225753 = 311353157
BaseRepresentation
bin111111010111…
…1110000011001
32022112001011110
41332233300121
532001211003
63144050533
7552262041
oct176576031
968461143
1033225753
1117834000
12b163a49
136b64312
1445ac721
152db4a03
hex1fafc19

33225753 has 32 divisors (see below), whose sum is σ = 49963392. Its totient is φ = 19631040.

The previous prime is 33225749. The next prime is 33225761. The reversal of 33225753 is 35752233.

It is not a de Polignac number, because 33225753 - 22 = 33225749 is a prime.

It is a super-2 number, since 2×332257532 = 2207901324834018, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33225753.

It is not an unprimeable number, because it can be changed into a prime (33225253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211551 + ... + 211707.

It is an arithmetic number, because the mean of its divisors is an integer number (1561356).

Almost surely, 233225753 is an apocalyptic number.

33225753 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33225753 is a deficient number, since it is larger than the sum of its proper divisors (16737639).

33225753 is a wasteful number, since it uses less digits than its factorization.

33225753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its digits is 18900, while the sum is 30.

The square root of 33225753 is about 5764.1784323527. The cubic root of 33225753 is about 321.4831961626.

Adding to 33225753 its reverse (35752233), we get a palindrome (68977986).

The spelling of 33225753 in words is "thirty-three million, two hundred twenty-five thousand, seven hundred fifty-three".

Divisors: 1 3 11 33 53 121 157 159 363 471 583 1331 1727 1749 3993 5181 6413 8321 18997 19239 24963 56991 70543 91531 208967 211629 274593 626901 1006841 3020523 11075251 33225753