Search a number
-
+
3221020032 = 27331270583
BaseRepresentation
bin1011111111111100…
…1101110110000000
322022110220202211020
42333333031312000
523044040120112
61251341345440
7142551134646
oct27777156600
98273822736
103221020032
11140320002a
1275a868280
133c441b319
14227adb196
1513cba148c
hexbffcdd80

3221020032 has 64 divisors (see below), whose sum is σ = 8831861760. Its totient is φ = 1039034880.

The previous prime is 3221020021. The next prime is 3221020043. The reversal of 3221020032 is 2300201223.

It is an interprime number because it is at equal distance from previous prime (3221020021) and next prime (3221020043).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3221019993 and 3221020020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123388 + ... + 147195.

It is an arithmetic number, because the mean of its divisors is an integer number (137997840).

Almost surely, 23221020032 is an apocalyptic number.

3221020032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3221020032 is an abundant number, since it is smaller than the sum of its proper divisors (5610841728).

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

3221020032 is a wasteful number, since it uses less digits than its factorization.

3221020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270631 (or 270619 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3221020032 is about 56754.0309757818. The cubic root of 3221020032 is about 1476.8321626997.

Adding to 3221020032 its reverse (2300201223), we get a palindrome (5521221255).

The spelling of 3221020032 in words is "three billion, two hundred twenty-one million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 270583 541166 811749 1082332 1623498 2164664 3246996 4329328 6493992 8388073 8658656 12987984 16776146 17317312 25164219 25975968 33552292 34634624 50328438 51951936 67104584 100656876 103903872 134209168 201313752 268418336 402627504 536836672 805255008 1073673344 1610510016 3221020032