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3331220004 = 2232759613673
BaseRepresentation
bin1100011010001110…
…0110001000100100
322121011021111202200
43012203212020210
523310243020004
61310315334500
7145356621450
oct30643461044
98534244680
103331220004
11145a428992
1278b751430
134111c36c8
142385c5660
151476bd239
hexc68e6224

3331220004 has 144 divisors (see below), whose sum is σ = 9949779840. Its totient is φ = 920056320.

The previous prime is 3331220003. The next prime is 3331220017. The reversal of 3331220004 is 4000221333.

It is a super-2 number, since 2×33312200042 = 22194053430099520032, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3331220003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905112 + ... + 908784.

Almost surely, 23331220004 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 3331220004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974889920).

3331220004 is an abundant number, since it is smaller than the sum of its proper divisors (6618559836).

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

3331220004 is a wasteful number, since it uses less digits than its factorization.

3331220004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3805 counting only the distinct ones).

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

The square root of 3331220004 is about 57716.7220482938. The cubic root of 3331220004 is about 1493.4858259764.

Adding to 3331220004 its reverse (4000221333), we get a palindrome (7331441337).

The spelling of 3331220004 in words is "three billion, three hundred thirty-one million, two hundred twenty thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 61 63 84 118 122 126 177 183 236 244 252 354 366 413 427 531 549 708 732 826 854 1062 1098 1239 1281 1652 1708 2124 2196 2478 2562 3599 3673 3717 3843 4956 5124 7198 7346 7434 7686 10797 11019 14396 14692 14868 15372 21594 22038 25193 25711 32391 33057 43188 44076 50386 51422 64782 66114 75579 77133 100772 102844 129564 132228 151158 154266 216707 224053 226737 231399 302316 308532 433414 448106 453474 462798 650121 672159 866828 896212 906948 925596 1300242 1344318 1516949 1568371 1950363 2016477 2600484 2688636 3033898 3136742 3900726 4032954 4550847 4705113 6067796 6273484 7801452 8065908 9101694 9410226 13219127 13652541 14115339 18203388 18820452 26438254 27305082 28230678 39657381 52876508 54610164 56461356 79314762 92533889 118972143 158629524 185067778 237944286 277601667 370135556 475888572 555203334 832805001 1110406668 1665610002 3331220004