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3222024 = 2331323449
BaseRepresentation
bin1100010010101000001000
320001200210020
430102220020
51311101044
6153020440
736246441
oct14225010
96050706
103222024
111900833
1210b4720
1388a730
145dc2c8
15439a19
hex312a08

3222024 has 64 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 946176.

The previous prime is 3222007. The next prime is 3222031. The reversal of 3222024 is 4202223.

It is a Cunningham number, because it is equal to 17952-1.

It is a junction number, because it is equal to n+sod(n) for n = 3221994 and 3222012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6952 + ... + 7400.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 23222024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

3222024 is an abundant number, since it is smaller than the sum of its proper divisors (5849976).

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

3222024 is a wasteful number, since it uses less digits than its factorization.

3222024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3222024 is about 1794.9997214484. Note that the first 3 decimals coincide. The cubic root of 3222024 is about 147.6985585963.

Adding to 3222024 its reverse (4202223), we get a palindrome (7424247).

It can be divided in two parts, 322 and 2024, that added together give a triangular number (2346 = T68).

The spelling of 3222024 in words is "three million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 449 552 598 897 898 1196 1347 1794 1796 2392 2694 3588 3592 5388 5837 7176 10327 10776 11674 17511 20654 23348 30981 35022 41308 46696 61962 70044 82616 123924 134251 140088 247848 268502 402753 537004 805506 1074008 1611012 3222024