Search a number
-
+
3001022232 = 2331321395323
BaseRepresentation
bin1011001011011111…
…1111011100011000
321202010221201120120
42302313333130120
522121230202412
61213442153240
7134240160645
oct26267773430
97663851516
103001022232
1112aaaa946a
126b9052820
1338a981900
142067d0dcc
151286e6b8c
hexb2dff718

3001022232 has 96 divisors (see below), whose sum is σ = 8184052800. Its totient is φ = 916576128.

The previous prime is 3001022207. The next prime is 3001022251. The reversal of 3001022232 is 2322201003.

It is a super-2 number, since 2×30010222322 = 18012268873916523648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561123 + ... + 566445.

It is an arithmetic number, because the mean of its divisors is an integer number (85250550).

Almost surely, 23001022232 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 3001022232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092026400).

3001022232 is an abundant number, since it is smaller than the sum of its proper divisors (5183030568).

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

3001022232 is a wasteful number, since it uses less digits than its factorization.

3001022232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3001022232 is about 54781.5866144821. The cubic root of 3001022232 is about 1442.4133643341.

Adding to 3001022232 its reverse (2322201003), we get a palindrome (5323223235).

The spelling of 3001022232 in words is "three billion, one million, twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 139 156 169 278 312 338 417 507 556 676 834 1014 1112 1352 1668 1807 2028 3336 3614 4056 5323 5421 7228 10646 10842 14456 15969 21292 21684 23491 31938 42584 43368 46982 63876 69199 70473 93964 127752 138398 140946 187928 207597 276796 281892 415194 553592 563784 739897 830388 899587 1479794 1660776 1799174 2219691 2698761 2959588 3598348 4439382 5397522 5919176 7196696 8878764 9618661 10795044 17757528 19237322 21590088 28855983 38474644 57711966 76949288 115423932 125042593 230847864 250085186 375127779 500170372 750255558 1000340744 1500511116 3001022232