Search a number
-
+
3223230320 = 245735471009
BaseRepresentation
bin1100000000011110…
…1001011101110000
322022122002001202202
43000013221131300
523100121332240
61251501002332
7142606001642
oct30007513560
98278061682
103223230320
11140447a712
1275b5533a8
133c4a1339b
14228114892
1513ce8b315
hexc01e9770

3223230320 has 80 divisors (see below), whose sum is σ = 7618098720. Its totient is φ = 1268047872.

The previous prime is 3223230251. The next prime is 3223230331. The reversal of 3223230320 is 230323223.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3223230292 and 3223230301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3193976 + ... + 3194984.

It is an arithmetic number, because the mean of its divisors is an integer number (95226234).

Almost surely, 23223230320 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 3223230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809049360).

3223230320 is an abundant number, since it is smaller than the sum of its proper divisors (4394868400).

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

3223230320 is a wasteful number, since it uses less digits than its factorization.

3223230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 3223230320 is about 56773.5001563229. The cubic root of 3223230320 is about 1477.1698898808.

Adding to 3223230320 its reverse (230323223), we get a palindrome (3453553543).

The spelling of 3223230320 in words is "three billion, two hundred twenty-three million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 547 584 730 1009 1094 1168 1460 2018 2188 2735 2920 4036 4376 5045 5470 5840 8072 8752 10090 10940 16144 20180 21880 39931 40360 43760 73657 79862 80720 147314 159724 199655 294628 319448 368285 399310 551923 589256 638896 736570 798620 1103846 1178512 1473140 1597240 2207692 2759615 2946280 3194480 4415384 5519230 5892560 8830768 11038460 22076920 40290379 44153840 80580758 161161516 201451895 322323032 402903790 644646064 805807580 1611615160 3223230320