Search a number
-
+
3221274624 = 214365537
BaseRepresentation
bin1100000000000000…
…1100000000000000
322022111101201001120
43000000030000000
523044121241444
61251351032240
7142553245131
oct30000140000
98274351046
103221274624
111403364337
1275a96b680
133c44aa179
14227b65c88
1513cc01b19
hexc000c000

3221274624 has 60 divisors (see below), whose sum is σ = 8589934584. Its totient is φ = 1073741824.

The previous prime is 3221274583. The next prime is 3221274653. The reversal of 3221274624 is 4264721223.

It is a super-3 number, since 3×32212746243 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is an unprimeable number.

In principle, a polygon with 3221274624 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16384 + ... + 81920.

Almost surely, 23221274624 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 3221274624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294967292).

3221274624 is an abundant number, since it is smaller than the sum of its proper divisors (5368659960).

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

3221274624 is an frugal number, since it uses more digits than its factorization.

3221274624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65568 (or 65542 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 3221274624 is about 56756.2738734671. The cubic root of 3221274624 is about 1476.8710716731.

Adding to 3221274624 its reverse (4264721223), we get a palindrome (7485995847).

The spelling of 3221274624 in words is "three billion, two hundred twenty-one million, two hundred seventy-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 49152 65537 131074 196611 262148 393222 524296 786444 1048592 1572888 2097184 3145776 4194368 6291552 8388736 12583104 16777472 25166208 33554944 50332416 67109888 100664832 134219776 201329664 268439552 402659328 536879104 805318656 1073758208 1610637312 3221274624