Search a number
-
+
2198291880 = 233541943721
BaseRepresentation
bin1000001100000111…
…0100010110101000
312200012110210112210
42003001310112220
514000230320010
61002045005120
7105322113141
oct20301642650
95605423483
102198291880
11a28973254
125142537a0
13290584035
1416bd54ac8
15cced0b20
hex830745a8

2198291880 has 64 divisors (see below), whose sum is σ = 6610766400. Its totient is φ = 584798720.

The previous prime is 2198291867. The next prime is 2198291897. The reversal of 2198291880 is 881928912.

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, 28420 + ... + 72140.

It is an arithmetic number, because the mean of its divisors is an integer number (103293225).

Almost surely, 22198291880 is an apocalyptic number.

2198291880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2198291880 is an abundant number, since it is smaller than the sum of its proper divisors (4412474520).

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

2198291880 is a wasteful number, since it uses less digits than its factorization.

2198291880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44154 (or 44150 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The square root of 2198291880 is about 46885.9454421045. The cubic root of 2198291880 is about 1300.2547587506.

The spelling of 2198291880 in words is "two billion, one hundred ninety-eight million, two hundred ninety-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 419 838 1257 1676 2095 2514 3352 4190 5028 6285 8380 10056 12570 16760 25140 43721 50280 87442 131163 174884 218605 262326 349768 437210 524652 655815 874420 1049304 1311630 1748840 2623260 5246520 18319099 36638198 54957297 73276396 91595495 109914594 146552792 183190990 219829188 274786485 366381980 439658376 549572970 732763960 1099145940 2198291880