Search a number
-
+
3322331000 = 235316671993
BaseRepresentation
bin1100011000000110…
…1011111101111000
322120112112220100022
43012001223331320
523301004043000
61305401030012
7145221230132
oct30601537570
98515486308
103322331000
1114554074aa
12788785308
1340c400741
14237350052
15146a14585
hexc606bf78

3322331000 has 64 divisors (see below), whose sum is σ = 7782821280. Its totient is φ = 1327468800.

The previous prime is 3322330997. The next prime is 3322331021. The reversal of 3322331000 is 1332233.

It is a super-2 number, since 2×33223310002 = 22075766547122000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3322331000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666004 + ... + 1667996.

Almost surely, 23322331000 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 3322331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891410640).

3322331000 is an abundant number, since it is smaller than the sum of its proper divisors (4460490280).

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

3322331000 is a wasteful number, since it uses less digits than its factorization.

3322331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 3322331000 is about 57639.6651621086. The cubic root of 3322331000 is about 1492.1562403016.

Adding to 3322331000 its reverse (1332233), we get a palindrome (3323663233).

It can be divided in two parts, 332 and 2331000, that added together give a palindrome (2331332).

The spelling of 3322331000 in words is "three billion, three hundred twenty-two million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1667 1993 3334 3986 6668 7972 8335 9965 13336 15944 16670 19930 33340 39860 41675 49825 66680 79720 83350 99650 166700 199300 208375 249125 333400 398600 416750 498250 833500 996500 1667000 1993000 3322331 6644662 13289324 16611655 26578648 33223310 66446620 83058275 132893240 166116550 332233100 415291375 664466200 830582750 1661165500 3322331000