Search a number
-
+
3221496 = 2332101443
BaseRepresentation
bin1100010010011111111000
320001200001200
430102133320
51311041441
6153014200
736245055
oct14223770
96050050
103221496
1119003a3
1210b4360
1388a415
145dc02c
154397b6
hex3127f8

3221496 has 48 divisors (see below), whose sum is σ = 8831160. Its totient is φ = 1060800.

The previous prime is 3221473. The next prime is 3221497. The reversal of 3221496 is 6941223.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7051 + ... + 7493.

Almost surely, 23221496 is an apocalyptic number.

3221496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415580).

3221496 is an abundant number, since it is smaller than the sum of its proper divisors (5609664).

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

3221496 is a wasteful number, since it uses less digits than its factorization.

3221496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 549 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3221496 is about 1794.8526401908. The cubic root of 3221496 is about 147.6904902621.

It can be divided in two parts, 32 and 21496, that added together give a triangular number (21528 = T207).

The spelling of 3221496 in words is "three million, two hundred twenty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 443 606 808 886 909 1212 1329 1772 1818 2424 2658 3544 3636 3987 5316 7272 7974 10632 15948 31896 44743 89486 134229 178972 268458 357944 402687 536916 805374 1073832 1610748 3221496