Search a number
-
+
33122001 = 31117223151
BaseRepresentation
bin111111001011…
…0011011010001
32022022202211210
41332112123101
531434401001
63141530333
7551350413
oct176263321
968282753
1033122001
1117773060
12b1139a9
136b29023
1445829b3
152d93dd6
hex1f966d1

33122001 has 48 divisors (see below), whose sum is σ = 53756928. Its totient is φ = 17952000.

The previous prime is 33121969. The next prime is 33122003. The reversal of 33122001 is 10022133.

It is a happy number.

It is not a de Polignac number, because 33122001 - 25 = 33121969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33122003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219276 + ... + 219426.

It is an arithmetic number, because the mean of its divisors is an integer number (1119936).

Almost surely, 233122001 is an apocalyptic number.

It is an amenable number.

33122001 is a deficient number, since it is larger than the sum of its proper divisors (20634927).

33122001 is a wasteful number, since it uses less digits than its factorization.

33122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 33122001 is about 5755.1716742422. The cubic root of 33122001 is about 321.1482220341.

Adding to 33122001 its reverse (10022133), we get a palindrome (43144134).

The spelling of 33122001 in words is "thirty-three million, one hundred twenty-two thousand, one".

Divisors: 1 3 11 17 23 33 51 69 151 187 253 289 391 453 561 759 867 1173 1661 2567 3179 3473 4301 4983 6647 7701 9537 10419 12903 19941 28237 38203 43639 59041 73117 84711 114609 130917 177123 219351 480029 649451 1003697 1440087 1948353 3011091 11040667 33122001