Search a number
-
+
3220031000 = 235317917989
BaseRepresentation
bin1011111111101101…
…1100011000011000
322022102001112010102
42333323130120120
523043311443000
61251304234532
7142536545324
oct27773343030
98272045112
103220031000
111402694a4a
1275a46ba48
133c41630b4
14227920984
1513ca583d5
hexbfedc618

3220031000 has 64 divisors (see below), whose sum is σ = 7577388000. Its totient is φ = 1280745600.

The previous prime is 3220030967. The next prime is 3220031029. The reversal of 3220031000 is 1300223.

It is a super-2 number, since 2×32200310002 = 20737199281922000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170006 + ... + 187994.

Almost surely, 23220031000 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 3220031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788694000).

3220031000 is an abundant number, since it is smaller than the sum of its proper divisors (4357357000).

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

3220031000 is a wasteful number, since it uses less digits than its factorization.

3220031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18189 (or 18175 counting only the distinct ones).

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

The square root of 3220031000 is about 56745.3169873955. The cubic root of 3220031000 is about 1476.6809907338.

Adding to 3220031000 its reverse (1300223), we get a palindrome (3221331223).

The spelling of 3220031000 in words is "three billion, two hundred twenty million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 179 200 250 358 500 716 895 1000 1432 1790 3580 4475 7160 8950 17900 17989 22375 35800 35978 44750 71956 89500 89945 143912 179000 179890 359780 449725 719560 899450 1798900 2248625 3220031 3597800 4497250 6440062 8994500 12880124 16100155 17989000 25760248 32200310 64400620 80500775 128801240 161001550 322003100 402503875 644006200 805007750 1610015500 3220031000