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3223433444 = 22721117312837
BaseRepresentation
bin1100000000100001…
…1011000011100100
322022122110101101212
43000020123003210
523100144332234
61251505210552
7142610506100
oct30010330344
98278411355
103223433444
1114045a9290
1275b630a58
133c4a8498a
14228168900
1513cecb5ce
hexc021b0e4

3223433444 has 144 divisors (see below), whose sum is σ = 7826886144. Its totient is φ = 1143475200.

The previous prime is 3223433443. The next prime is 3223433459. The reversal of 3223433444 is 4443343223.

It is a super-2 number, since 2×32234334442 = 20781046335795402272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3223433444.

It is not an unprimeable number, because it can be changed into a prime (3223433443) 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 47 ways as a sum of consecutive naturals, for example, 1134794 + ... + 1137630.

It is an arithmetic number, because the mean of its divisors is an integer number (54353376).

Almost surely, 23223433444 is an apocalyptic number.

3223433444 is a gapful number since it is divisible by the number (34) 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 3223433444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913443072).

3223433444 is an abundant number, since it is smaller than the sum of its proper divisors (4603452700).

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

3223433444 is a wasteful number, since it uses less digits than its factorization.

3223433444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2905 counting only the distinct ones).

The product of its digits is 82944, while the sum is 32.

The square root of 3223433444 is about 56775.2890261247. The cubic root of 3223433444 is about 1477.2009190373.

Adding to 3223433444 its reverse (4443343223), we get a palindrome (7666776667).

The spelling of 3223433444 in words is "three billion, two hundred twenty-three million, four hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 17 22 28 31 34 44 49 62 68 77 98 119 124 154 187 196 217 238 308 341 374 434 476 527 539 682 748 833 868 1054 1078 1309 1364 1519 1666 2108 2156 2387 2618 2837 3038 3332 3689 4774 5236 5674 5797 6076 7378 9163 9548 11348 11594 14756 16709 18326 19859 23188 25823 31207 33418 36652 39718 40579 48229 51646 62414 66836 79436 81158 87947 96458 103292 124828 139013 162316 175894 192916 218449 278026 284053 337603 351788 436898 530519 556052 568106 615629 675206 873796 967417 1061038 1136212 1231258 1350412 1495099 1529143 1934834 2122076 2363221 2462516 2990198 3058286 3713633 3869668 4309403 4726442 5980396 6116572 6771919 7427266 8618806 9452884 10465693 13543838 14854532 16446089 17237612 20931386 25995431 27087676 32892178 41862772 47403433 51990862 65784356 73259851 94806866 103981724 115122623 146519702 189613732 230245246 293039404 460490492 805858361 1611716722 3223433444