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3222310221 = 331331437197
BaseRepresentation
bin1100000000010000…
…1000110101001101
322022120100022122000
43000010020311031
523044402411341
61251425142513
7142565120304
oct30004106515
98276308560
103222310221
111403a013a9
1275b18aa39
133c4780650
14227d5543b
1513cd588b6
hexc0108d4d

3222310221 has 128 divisors (see below), whose sum is σ = 5563514880. Its totient is φ = 1828915200.

The previous prime is 3222310213. The next prime is 3222310241. The reversal of 3222310221 is 1220132223.

It is not a de Polignac number, because 3222310221 - 23 = 3222310213 is a prime.

It is a super-2 number, since 2×32223102212 = 20766566320722137682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3222310194 and 3222310203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222310241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33219645 + ... + 33219741.

It is an arithmetic number, because the mean of its divisors is an integer number (43464960).

Almost surely, 23222310221 is an apocalyptic number.

3222310221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3222310221 is a deficient number, since it is larger than the sum of its proper divisors (2341204659).

3222310221 is a wasteful number, since it uses less digits than its factorization.

3222310221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3222310221 is about 56765.3963343867. The cubic root of 3222310221 is about 1477.0293195263.

Adding to 3222310221 its reverse (1220132223), we get a palindrome (4442442444).

The spelling of 3222310221 in words is "three billion, two hundred twenty-two million, three hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 31 39 43 71 93 97 117 129 213 279 291 351 387 403 559 639 837 873 923 1161 1209 1261 1333 1677 1917 2201 2619 2769 3007 3053 3627 3783 3999 4171 5031 6603 6887 8307 9021 9159 10881 11349 11997 12513 15093 17329 19809 20661 24921 27063 27477 28613 34047 35991 37539 39091 39689 51987 54223 59427 61983 81189 82431 85839 89531 94643 112617 117273 119067 129301 155961 162669 185949 213497 257517 268593 283929 296141 351819 357201 387903 467883 488007 640491 772551 805779 851787 888423 1055457 1071603 1163709 1230359 1464021 1680913 1921473 2417337 2555361 2665269 2775461 3491127 3691077 3849833 5042739 5764419 7995807 8326383 9180371 11073231 11549499 15128217 24979149 27541113 33219693 34648497 45384651 74937447 82623339 103945491 119344823 247870017 358034469 1074103407 3222310221