Search a number
-
+
33422085 = 3351714563
BaseRepresentation
bin111111101111…
…1101100000101
32022220000111000
41333133230011
532024001320
63152203513
7554040324
oct177375405
968800430
1033422085
1117958564
12b239599
136c027a8
1446200bb
152e02c90
hex1fdfb05

33422085 has 32 divisors (see below), whose sum is σ = 62916480. Its totient is φ = 16775424.

The previous prime is 33422071. The next prime is 33422087. The reversal of 33422085 is 58022433.

It is not a de Polignac number, because 33422085 - 26 = 33422021 is a prime.

It is a super-2 number, since 2×334220852 = 2234071531494450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33422087) 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 31 ways as a sum of consecutive naturals, for example, 4987 + ... + 9576.

It is an arithmetic number, because the mean of its divisors is an integer number (1966140).

Almost surely, 233422085 is an apocalyptic number.

It is an amenable number.

33422085 is a deficient number, since it is larger than the sum of its proper divisors (29494395).

33422085 is a wasteful number, since it uses less digits than its factorization.

33422085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14594 (or 14588 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 33422085 is about 5781.1837023226. The cubic root of 33422085 is about 322.1151710489.

The spelling of 33422085 in words is "thirty-three million, four hundred twenty-two thousand, eighty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 14563 43689 72815 131067 218445 247571 393201 655335 742713 1237855 1966005 2228139 3713565 6684417 11140695 33422085