Search a number
-
+
3342212220 = 2235376732237
BaseRepresentation
bin1100011100110110…
…0001110001111100
322121220221222020210
43013031201301330
523321101242340
61311351112420
7145552222644
oct30715416174
98556858223
103342212220
111465656566
12793372710
13413571a89
14239c47524
15148640180
hexc7361c7c

3342212220 has 96 divisors (see below), whose sum is σ = 9629702208. Its totient is φ = 865492992.

The previous prime is 3342212219. The next prime is 3342212227. The reversal of 3342212220 is 222122433.

It is a super-2 number, since 2×33422122202 = 22340765047034656800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342212227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1492942 + ... + 1495178.

It is an arithmetic number, because the mean of its divisors is an integer number (100309398).

Almost surely, 23342212220 is an apocalyptic number.

3342212220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814851104).

3342212220 is an abundant number, since it is smaller than the sum of its proper divisors (6287489988).

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

3342212220 is a wasteful number, since it uses less digits than its factorization.

3342212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3342212220 is about 57811.8691965586. The cubic root of 3342212220 is about 1495.1267357875.

Adding to 3342212220 its reverse (222122433), we get a palindrome (3564334653).

The spelling of 3342212220 in words is "three billion, three hundred forty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 673 740 1110 1346 2019 2220 2237 2692 3365 4038 4474 6711 6730 8076 8948 10095 11185 13422 13460 20190 22370 24901 26844 33555 40380 44740 49802 67110 74703 82769 99604 124505 134220 149406 165538 248307 249010 298812 331076 373515 413845 496614 498020 747030 827690 993228 1241535 1494060 1505501 1655380 2483070 3011002 4516503 4966140 6022004 7527505 9033006 15055010 18066012 22582515 30110020 45165030 55703537 90330060 111407074 167110611 222814148 278517685 334221222 557035370 668442444 835553055 1114070740 1671106110 3342212220