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3224134144 = 2973111669
BaseRepresentation
bin1100000000101100…
…0110001000000000
322022200202222120201
43000023012020000
523100334243034
61251532214544
7142616455000
oct30013061000
98280688521
103224134144
111404a37780
1275b90a454
133c4c6b8aa
142282ac000
1513d0b9014
hexc02c6200

3224134144 has 160 divisors (see below), whose sum is σ = 8200368000. Its totient is φ = 1255403520.

The previous prime is 3224134129. The next prime is 3224134171. The reversal of 3224134144 is 4414314223.

It is a super-2 number, since 2×32241341442 = 20790081957013225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930942 + ... + 1932610.

It is an arithmetic number, because the mean of its divisors is an integer number (51252300).

Almost surely, 23224134144 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 3224134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100184000).

3224134144 is an abundant number, since it is smaller than the sum of its proper divisors (4976233856).

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

3224134144 is an equidigital number, since it uses as much as digits as its factorization.

3224134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1689 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 3224134144 is about 56781.4595092447. The cubic root of 3224134144 is about 1477.3079477393.

Adding to 3224134144 its reverse (4414314223), we get a palindrome (7638448367).

The spelling of 3224134144 in words is "three billion, two hundred twenty-four million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 343 352 392 448 512 539 616 686 704 784 896 1078 1232 1372 1408 1568 1669 1792 2156 2464 2744 2816 3136 3338 3584 3773 4312 4928 5488 5632 6272 6676 7546 8624 9856 10976 11683 12544 13352 15092 17248 18359 19712 21952 23366 25088 26704 30184 34496 36718 39424 43904 46732 53408 60368 68992 73436 81781 87808 93464 106816 120736 128513 137984 146872 163562 175616 186928 213632 241472 257026 275968 293744 327124 373856 427264 482944 514052 572467 587488 654248 747712 854528 899591 965888 1028104 1144934 1174976 1308496 1495424 1799182 1931776 2056208 2289868 2349952 2616992 2990848 3598364 4112416 4579736 4699904 5233984 5981696 6297137 7196728 8224832 9159472 9399808 10467968 12594274 14393456 16449664 18318944 20935936 25188548 28786912 32899328 36637888 41871872 50377096 57573824 65798656 73275776 100754192 115147648 146551552 201508384 230295296 293103104 403016768 460590592 806033536 1612067072 3224134144