Search a number
-
+
3095228160 = 2833589561
BaseRepresentation
bin1011100001111101…
…0110111100000000
321222201012212211000
42320133112330000
522314334300120
61231045252000
7136463001543
oct27037267400
97881185730
103095228160
1113491a2802
12724704000
133a434706b
1421511485a
15131b04990
hexb87d6f00

3095228160 has 144 divisors (see below), whose sum is σ = 10983883680. Its totient is φ = 825384960.

The previous prime is 3095228113. The next prime is 3095228167. The reversal of 3095228160 is 618225903.

3095228160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3095228167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10221 + ... + 79340.

It is an arithmetic number, because the mean of its divisors is an integer number (76276970).

Almost surely, 23095228160 is an apocalyptic number.

3095228160 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 3095228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491941840).

3095228160 is an abundant number, since it is smaller than the sum of its proper divisors (7888655520).

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

3095228160 is an equidigital number, since it uses as much as digits as its factorization.

3095228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89591 (or 89571 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3095228160 is about 55634.7747366699. The cubic root of 3095228160 is about 1457.3511990779.

The spelling of 3095228160 in words is "three billion, ninety-five million, two hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 89561 179122 268683 358244 447805 537366 716488 806049 895610 1074732 1343415 1432976 1612098 1791220 2149464 2418147 2686830 2865952 3224196 3582440 4030245 4298928 4836294 5373660 5731904 6448392 7164880 8060490 8597856 9672588 10747320 11463808 12090735 12896784 14329760 16120980 17195712 19345176 21494640 22927616 24181470 25793568 28659520 32241960 34391424 38690352 42989280 48362940 51587136 57319040 64483920 68782848 77380704 85978560 96725880 103174272 114638080 128967840 154761408 171957120 193451760 206348544 257935680 309522816 343914240 386903520 515871360 619045632 773807040 1031742720 1547614080 3095228160