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3332021220 = 22325116725117
BaseRepresentation
bin1100011010011010…
…1001101111100100
322121012210012211100
43012212221233210
523310444134340
61310344440100
7145366466403
oct30646515744
98535705740
103332021220
11145a925950
1278ba79030
134114142b8
1423875363a
151477ca830
hexc69a9be4

3332021220 has 144 divisors (see below), whose sum is σ = 11190973248. Its totient is φ = 795674880.

The previous prime is 3332021213. The next prime is 3332021227. The reversal of 3332021220 is 221202333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3332021213) and next prime (3332021227).

It is a super-2 number, since 2×33320212202 = 22204730821060576800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3332021193 and 3332021202.

It is not an unprimeable number, because it can be changed into a prime (3332021227) 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 47 ways as a sum of consecutive naturals, for example, 120102 + ... + 145218.

It is an arithmetic number, because the mean of its divisors is an integer number (77715092).

Almost surely, 23332021220 is an apocalyptic number.

3332021220 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 3332021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595486624).

3332021220 is an abundant number, since it is smaller than the sum of its proper divisors (7858952028).

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

3332021220 is a wasteful number, since it uses less digits than its factorization.

3332021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25210 (or 25205 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3332021220 is about 57723.6625657104. The cubic root of 3332021220 is about 1493.6055527649.

Adding to 3332021220 its reverse (221202333), we get a palindrome (3553223553).

The spelling of 3332021220 in words is "three billion, three hundred thirty-two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 67 90 99 110 132 134 165 180 198 201 220 268 330 335 396 402 495 603 660 670 737 804 990 1005 1206 1340 1474 1980 2010 2211 2412 2948 3015 3685 4020 4422 6030 6633 7370 8844 11055 12060 13266 14740 22110 25117 26532 33165 44220 50234 66330 75351 100468 125585 132660 150702 226053 251170 276287 301404 376755 452106 502340 552574 753510 828861 904212 1105148 1130265 1381435 1507020 1657722 1682839 2260530 2486583 2762870 3315444 3365678 4144305 4521060 4973166 5048517 5525740 6731356 8288610 8414195 9946332 10097034 12432915 15145551 16577220 16828390 18511229 20194068 24865830 25242585 30291102 33656780 37022458 49731660 50485170 55533687 60582204 74044916 75727755 92556145 100970340 111067374 151455510 166601061 185112290 222134748 277668435 302911020 333202122 370224580 555336870 666404244 833005305 1110673740 1666010610 3332021220