Search a number
-
+
3220103000 = 23537344111
BaseRepresentation
bin1011111111101110…
…1101111101011000
322022102012011220002
42333323231331120
523043321244000
61251305552132
7142540265252
oct27773557530
98272164802
103220103000
111402734054
1275a4a5648
133c4189aba
1422793ccd2
1513ca6e8d5
hexbfeedf58

3220103000 has 64 divisors (see below), whose sum is σ = 7638433920. Its totient is φ = 1270368000.

The previous prime is 3220102993. The next prime is 3220103027. The reversal of 3220103000 is 3010223.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50945 + ... + 95055.

It is an arithmetic number, because the mean of its divisors is an integer number (119350530).

Almost surely, 23220103000 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 3220103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819216960).

3220103000 is an abundant number, since it is smaller than the sum of its proper divisors (4418330920).

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

3220103000 is a wasteful number, since it uses less digits than its factorization.

3220103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44205 (or 44191 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3220103000 is about 56745.9513974345. The cubic root of 3220103000 is about 1476.6919968637.

Adding to 3220103000 its reverse (3010223), we get a palindrome (3223113223).

The spelling of 3220103000 in words is "three billion, two hundred twenty million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 730 1000 1460 1825 2920 3650 7300 9125 14600 18250 36500 44111 73000 88222 176444 220555 352888 441110 882220 1102775 1764440 2205550 3220103 4411100 5513875 6440206 8822200 11027750 12880412 16100515 22055500 25760824 32201030 44111000 64402060 80502575 128804120 161005150 322010300 402512875 644020600 805025750 1610051500 3220103000