Search a number
-
+
3311615020 = 2257223314503
BaseRepresentation
bin1100010101100011…
…0011110000101100
322112210101110210011
43011120303300230
523240233140040
61304335223004
7145031156200
oct30530636054
98483343704
103311615020
11144a35841a
12785077a64
1340a11b01c
14235b60b00
15145ae93ea
hexc5633c2c

3311615020 has 72 divisors (see below), whose sum is σ = 8125082784. Its totient is φ = 1130459904.

The previous prime is 3311614991. The next prime is 3311615057. The reversal of 3311615020 is 205161133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3311614982 and 3311615000.

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, 221089 + ... + 235591.

It is an arithmetic number, because the mean of its divisors is an integer number (112848372).

Almost surely, 23311615020 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 3311615020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062541392).

3311615020 is an abundant number, since it is smaller than the sum of its proper divisors (4813467764).

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

3311615020 is a wasteful number, since it uses less digits than its factorization.

3311615020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14759 (or 14750 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 3311615020 is about 57546.6334375869. The cubic root of 3311615020 is about 1490.5502254478.

Adding to 3311615020 its reverse (205161133), we get a palindrome (3516776153).

The spelling of 3311615020 in words is "three billion, three hundred eleven million, six hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 233 245 466 490 932 980 1165 1631 2330 3262 4660 6524 8155 11417 14503 16310 22834 29006 32620 45668 57085 58012 72515 101521 114170 145030 203042 228340 290060 406084 507605 710647 1015210 1421294 2030420 2842588 3379199 3553235 6758398 7106470 13516796 14212940 16895995 23654393 33791990 47308786 67583980 94617572 118271965 165580751 236543930 331161502 473087860 662323004 827903755 1655807510 3311615020