[go: up one dir, main page]

Search a number
-
+
3328224020 = 2251126956239
BaseRepresentation
bin1100011001100000…
…1010101100010100
322120221122022001022
43012120022230110
523304011132040
61310131220312
7145322303012
oct30630125424
98527568038
103328224020
111458771a70
1278a747698
134106b4b34
142380458b2
151472ca6b5
hexc660ab14

3328224020 has 48 divisors (see below), whose sum is σ = 7653139200. Its totient is φ = 1205742720.

The previous prime is 3328224017. The next prime is 3328224023. The reversal of 3328224020 is 204228233.

It is an interprime number because it is at equal distance from previous prime (3328224017) and next prime (3328224023).

It is a super-2 number, since 2×33282240202 = 22154150254609920800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328224023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31061 + ... + 87299.

It is an arithmetic number, because the mean of its divisors is an integer number (159440400).

Almost surely, 23328224020 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 3328224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826569600).

3328224020 is an abundant number, since it is smaller than the sum of its proper divisors (4324915180).

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

3328224020 is a wasteful number, since it uses less digits than its factorization.

3328224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56528 (or 56526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 3328224020 is about 57690.7619987811. The cubic root of 3328224020 is about 1493.0379618611.

The spelling of 3328224020 in words is "three billion, three hundred twenty-eight million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 269 538 1076 1345 2690 2959 5380 5918 11836 14795 29590 56239 59180 112478 224956 281195 562390 618629 1124780 1237258 2474516 3093145 6186290 12372580 15128291 30256582 60513164 75641455 151282910 166411201 302565820 332822402 665644804 832056005 1664112010 3328224020