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3322242100 = 2252316771583
BaseRepresentation
bin1100011000000101…
…0110010000110100
322120112101101101201
43012001112100310
523300443221400
61305355102244
7145220410012
oct30601262064
98515341351
103322242100
111455356731
12788741984
1340c39c138
142373298b2
151469e806a
hexc6056434

3322242100 has 72 divisors (see below), whose sum is σ = 7457522688. Its totient is φ = 1283318400.

The previous prime is 3322242083. The next prime is 3322242109. The reversal of 3322242100 is 12422233.

It is a super-2 number, since 2×33222421002 = 22074585142024820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322242109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2097909 + ... + 2099491.

It is an arithmetic number, because the mean of its divisors is an integer number (103576704).

Almost surely, 23322242100 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 3322242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728761344).

3322242100 is an abundant number, since it is smaller than the sum of its proper divisors (4135280588).

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

3322242100 is a wasteful number, since it uses less digits than its factorization.

3322242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3322242100 is about 57638.8939866129. The cubic root of 3322242100 is about 1492.1429309843.

Adding to 3322242100 its reverse (12422233), we get a palindrome (3334664333).

The spelling of 3322242100 in words is "three billion, three hundred twenty-two million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 677 775 1354 1550 1583 2708 3100 3166 3385 6332 6770 7915 13540 15830 16925 20987 31660 33850 39575 41974 49073 67700 79150 83948 98146 104935 158300 196292 209870 245365 419740 490730 524675 981460 1049350 1071691 1226825 2098700 2143382 2453650 4286764 4907300 5358455 10716910 21433820 26792275 33222421 53584550 66444842 107169100 132889684 166112105 332224210 664448420 830560525 1661121050 3322242100