Search a number
-
+
3220101444 = 2237217322139
BaseRepresentation
bin1011111111101110…
…1101100101000100
322022102012002202110
42333323231211010
523043321221234
61251305541020
7142540260600
oct27773554504
98272162673
103220101444
11140273296a
1275a4a4770
133c4189191
1422793c500
1513ca6e1e9
hexbfeed944

3220101444 has 72 divisors (see below), whose sum is σ = 9254437920. Its totient is φ = 865906944.

The previous prime is 3220101439. The next prime is 3220101473. The reversal of 3220101444 is 4441010223.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3220101444.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151074 + ... + 171065.

It is an arithmetic number, because the mean of its divisors is an integer number (128533860).

Almost surely, 23220101444 is an apocalyptic number.

3220101444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3220101444 is an abundant number, since it is smaller than the sum of its proper divisors (6034336476).

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

3220101444 is a wasteful number, since it uses less digits than its factorization.

3220101444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322177 (or 322168 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3220101444 is about 56745.9376872037. The cubic root of 3220101444 is about 1476.6917590107.

Adding to 3220101444 its reverse (4441010223), we get a palindrome (7661111667).

The spelling of 3220101444 in words is "three billion, two hundred twenty million, one hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 3332 4998 9996 322139 644278 966417 1288556 1932834 2254973 3865668 4509946 5476363 6764919 9019892 10952726 13529838 15784811 16429089 21905452 27059676 31569622 32858178 38334541 47354433 63139244 65716356 76669082 94708866 115003623 153338164 189417732 230007246 268341787 460014492 536683574 805025361 1073367148 1610050722 3220101444