Search a number
-
+
2198560 = 255713151
BaseRepresentation
bin1000011000110000100000
311010200212011
420120300200
51030323220
6115042304
724454540
oct10306040
94120764
102198560
1112718a1
128a0394
135bc930
14413320
152d665a
hex218c20

2198560 has 96 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 691200.

The previous prime is 2198533. The next prime is 2198569. The reversal of 2198560 is 658912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198569) 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, 14485 + ... + 14635.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

22198560 is an apocalyptic number.

2198560 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 2198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

2198560 is an abundant number, since it is smaller than the sum of its proper divisors (4236512).

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

2198560 is a wasteful number, since it uses less digits than its factorization.

2198560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 2198560 is about 1482.7541940592. The cubic root of 2198560 is about 130.0307619510.

The spelling of 2198560 in words is "two million, one hundred ninety-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 151 160 182 208 224 260 280 302 364 416 455 520 560 604 728 755 910 1040 1057 1120 1208 1456 1510 1820 1963 2080 2114 2416 2912 3020 3640 3926 4228 4832 5285 6040 7280 7852 8456 9815 10570 12080 13741 14560 15704 16912 19630 21140 24160 27482 31408 33824 39260 42280 54964 62816 68705 78520 84560 109928 137410 157040 169120 219856 274820 314080 439712 549640 1099280 2198560