Search a number
-
+
3332199816 = 2333116172273
BaseRepresentation
bin1100011010011101…
…0101010110001000
322121020010021211000
43012213111112020
523311020343231
61310352335000
7145401142161
oct30647252610
98536107730
103332199816
11145aa38050
1278bb44460
1341147768a
1423879c768
151478136e6
hexc69d5588

3332199816 has 128 divisors (see below), whose sum is σ = 10118390400. Its totient is φ = 1007677440.

The previous prime is 3332199799. The next prime is 3332199821. The reversal of 3332199816 is 6189912333.

3332199816 is a `hidden beast` number, since 333 + 219 + 98 + 16 = 666.

It is a super-2 number, since 2×33321998162 = 22207111227500867712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (209952) is a multiple of the sum of its prime factors (2916).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464856 + ... + 1467128.

It is an arithmetic number, because the mean of its divisors is an integer number (79049925).

Almost surely, 23332199816 is an apocalyptic number.

3332199816 is a gapful number since it is divisible by the number (36) 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 3332199816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059195200).

3332199816 is an abundant number, since it is smaller than the sum of its proper divisors (6786190584).

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

3332199816 is a wasteful number, since it uses less digits than its factorization.

3332199816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2906 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 3332199816 is about 57725.2095362156. The cubic root of 3332199816 is about 1493.6322379902.

The spelling of 3332199816 in words is "three billion, three hundred thirty-two million, one hundred ninety-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 617 792 1188 1234 1851 2273 2376 2468 3702 4546 4936 5553 6787 6819 7404 9092 11106 13574 13638 14808 16659 18184 20361 20457 22212 25003 27148 27276 33318 40722 40914 44424 50006 54296 54552 61083 61371 66636 75009 81444 81828 100012 122166 122742 133272 150018 162888 163656 183249 200024 225027 244332 245484 300036 366498 450054 488664 490968 600072 675081 732996 900108 1350162 1402441 1465992 1800216 2700324 2804882 4207323 5400648 5609764 8414646 11219528 12621969 15426851 16829292 25243938 30853702 33658584 37865907 46280553 50487876 61707404 75731814 92561106 100975752 123414808 138841659 151463628 185122212 277683318 302927256 370244424 416524977 555366636 833049954 1110733272 1666099908 3332199816