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33225426 = 232131071327
BaseRepresentation
bin111111010111…
…1101011010010
32022112000201100
41332233223102
532001203201
63144045230
7552261063
oct176575322
968460640
1033225426
1117833833
12b163816
136b64120
1445ac56a
152db4886
hex1fafad2

33225426 has 48 divisors (see below), whose sum is σ = 78309504. Its totient is φ = 10120032.

The previous prime is 33225421. The next prime is 33225427. The reversal of 33225426 is 62452233.

It is a super-2 number, since 2×332254262 = 2207857865762952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33225426.

It is not an unprimeable number, because it can be changed into a prime (33225421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24375 + ... + 25701.

It is an arithmetic number, because the mean of its divisors is an integer number (1631448).

Almost surely, 233225426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33225426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39154752).

33225426 is an abundant number, since it is smaller than the sum of its proper divisors (45084078).

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

33225426 is a wasteful number, since it uses less digits than its factorization.

33225426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1452 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 33225426 is about 5764.1500674427. The cubic root of 33225426 is about 321.4821415052.

Adding to 33225426 its reverse (62452233), we get a palindrome (95677659).

The spelling of 33225426 in words is "thirty-three million, two hundred twenty-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 642 963 1327 1391 1926 2654 2782 3981 4173 7962 8346 11943 12519 17251 23886 25038 34502 51753 103506 141989 155259 283978 310518 425967 851934 1277901 1845857 2555802 3691714 5537571 11075142 16612713 33225426