Search a number
-
+
3501014220 = 22325111819769
BaseRepresentation
bin1101000010101101…
…0011110011001100
3100000222202221122100
43100223103303030
524132224423340
61335222515100
7152521062354
oct32053236314
910028687570
103501014220
11153725a890
12818595a90
1343a433162
14252d83b64
1515755c830
hexd0ad3ccc

3501014220 has 144 divisors (see below), whose sum is σ = 11650373280. Its totient is φ = 843955200.

The previous prime is 3501014203. The next prime is 3501014239. The reversal of 3501014220 is 224101053.

3501014220 is a `hidden beast` number, since 3 + 501 + 0 + 142 + 20 = 666.

3501014220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3501014193 and 3501014202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353496 + ... + 363264.

It is an arithmetic number, because the mean of its divisors is an integer number (80905370).

Almost surely, 23501014220 is an apocalyptic number.

3501014220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3501014220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825186640).

3501014220 is an abundant number, since it is smaller than the sum of its proper divisors (8149359060).

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

3501014220 is a wasteful number, since it uses less digits than its factorization.

3501014220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9976 (or 9971 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3501014220 is about 59169.3689335960. The cubic root of 3501014220 is about 1518.4411274537.

Adding to 3501014220 its reverse (224101053), we get a palindrome (3725115273).

The spelling of 3501014220 in words is "three billion, five hundred one million, fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 181 198 220 330 362 396 495 543 660 724 905 990 1086 1629 1810 1980 1991 2172 2715 3258 3620 3982 5430 5973 6516 7964 8145 9769 9955 10860 11946 16290 17919 19538 19910 23892 29307 29865 32580 35838 39076 39820 48845 58614 59730 71676 87921 89595 97690 107459 117228 119460 146535 175842 179190 195380 214918 293070 322377 351684 358380 429836 439605 537295 586140 644754 879210 967131 1074590 1289508 1611885 1758420 1768189 1934262 2149180 3223770 3536378 3868524 4835655 5304567 6447540 7072756 8840945 9671310 10609134 15913701 17681890 19342620 19450079 21218268 26522835 31827402 35363780 38900158 53045670 58350237 63654804 77800316 79568505 97250395 106091340 116700474 159137010 175050711 194500790 233400948 291751185 318274020 350101422 389001580 583502370 700202844 875253555 1167004740 1750507110 3501014220