Search a number
-
+
33121422 = 23229107593
BaseRepresentation
bin111111001011…
…0010010001110
32022022202001100
41332112102032
531434341142
63141523530
7551345625
oct176262216
968282040
1033121422
1117772684
12b1135a6
136b28999
1445826bc
152d93b4c
hex1f9648e

33121422 has 48 divisors (see below), whose sum is σ = 75057840. Its totient is φ = 10542336.

The previous prime is 33121411. The next prime is 33121441. The reversal of 33121422 is 22412133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33121395 and 33121404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55558 + ... + 56150.

It is an arithmetic number, because the mean of its divisors is an integer number (1563705).

Almost surely, 233121422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33121422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37528920).

33121422 is an abundant number, since it is smaller than the sum of its proper divisors (41936418).

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

33121422 is a wasteful number, since it uses less digits than its factorization.

33121422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 734 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 33121422 is about 5755.1213714395. The cubic root of 33121422 is about 321.1463507109.

Adding to 33121422 its reverse (22412133), we get a palindrome (55533555).

The spelling of 33121422 in words is "thirty-three million, one hundred twenty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 107 174 214 261 321 522 593 642 963 1186 1779 1926 3103 3558 5337 6206 9309 10674 17197 18618 27927 34394 51591 55854 63451 103182 126902 154773 190353 309546 380706 571059 1142118 1840079 3680158 5520237 11040474 16560711 33121422