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3223434564 = 22327291972239
BaseRepresentation
bin1100000000100001…
…1011010101000100
322022122110102221100
43000020123111010
523100144401224
61251505220100
7142610512260
oct30010332504
98278412840
103223434564
1114045aa109
1275b631630
133c4a8533c
142281690a0
1513cecbac9
hexc021b544

3223434564 has 144 divisors (see below), whose sum is σ = 9686476800. Its totient is φ = 884314368.

The previous prime is 3223434559. The next prime is 3223434581. The reversal of 3223434564 is 4654343223.

3223434564 is a `hidden beast` number, since 32 + 2 + 34 + 34 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 1438557 + ... + 1440795.

It is an arithmetic number, because the mean of its divisors is an integer number (67267200).

Almost surely, 23223434564 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 3223434564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843238400).

3223434564 is an abundant number, since it is smaller than the sum of its proper divisors (6463042236).

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

3223434564 is a wasteful number, since it uses less digits than its factorization.

3223434564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2477 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The square root of 3223434564 is about 56775.2988895699. The cubic root of 3223434564 is about 1477.2010901245.

Adding to 3223434564 its reverse (4654343223), we get a palindrome (7877777787).

The spelling of 3223434564 in words is "three billion, two hundred twenty-three million, four hundred thirty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 197 203 252 261 348 394 406 522 591 609 788 812 1044 1182 1218 1379 1773 1827 2239 2364 2436 2758 3546 3654 4137 4478 5516 5713 6717 7092 7308 8274 8956 11426 12411 13434 15673 16548 17139 20151 22852 24822 26868 31346 34278 39991 40302 47019 49644 51417 62692 64931 68556 79982 80604 94038 102834 119973 129862 141057 159964 188076 194793 205668 239946 259724 282114 359919 389586 441083 454517 479892 564228 584379 719838 779172 882166 909034 1168758 1323249 1363551 1439676 1764332 1818068 2337516 2646498 2727102 3087581 3969747 4090653 5292996 5454204 6175162 7939494 8181306 9262743 12350324 12791407 15878988 16362612 18525486 25582814 27788229 37050972 38374221 51165628 55576458 76748442 89539849 111152916 115122663 153496884 179079698 230245326 268619547 358159396 460490652 537239094 805858641 1074478188 1611717282 3223434564