Search a number
-
+
2194375120 = 245719719891
BaseRepresentation
bin1000001011001011…
…1000000111010000
312122221002210202121
42002302320013100
513443230000440
61001425024024
7105243611050
oct20262700720
95587083677
102194375120
11a26738563
12512a85014
1328c812322
1416b615560
15cc9aa34a
hex82cb81d0

2194375120 has 80 divisors (see below), whose sum is σ = 5860660608. Its totient is φ = 748500480.

The previous prime is 2194375087. The next prime is 2194375217. The reversal of 2194375120 is 215734912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100375 + ... + 120265.

Almost surely, 22194375120 is an apocalyptic number.

2194375120 is a gapful number since it is divisible by the number (20) 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 2194375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930330304).

2194375120 is an abundant number, since it is smaller than the sum of its proper divisors (3666285488).

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

2194375120 is a wasteful number, since it uses less digits than its factorization.

2194375120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20108 (or 20102 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 2194375120 is about 46844.1578000929. The cubic root of 2194375120 is about 1299.4820658662.

The spelling of 2194375120 in words is "two billion, one hundred ninety-four million, three hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 197 280 394 560 788 985 1379 1576 1970 2758 3152 3940 5516 6895 7880 11032 13790 15760 19891 22064 27580 39782 55160 79564 99455 110320 139237 159128 198910 278474 318256 397820 556948 696185 795640 1113896 1392370 1591280 2227792 2784740 3918527 5569480 7837054 11138960 15674108 19592635 27429689 31348216 39185270 54859378 62696432 78370540 109718756 137148445 156741080 219437512 274296890 313482160 438875024 548593780 1097187560 2194375120