[go: up one dir, main page]

Search a number
-
+
2206980 = 223356167
BaseRepresentation
bin1000011010110100000100
311011010102000
420122310010
51031110410
6115145300
724521226
oct10326404
94133360
102206980
111278156
128a5230
135c3709
14416416
152d8dc0
hex21ad04

2206980 has 96 divisors (see below), whose sum is σ = 7082880. Its totient is φ = 570240.

The previous prime is 2206969. The next prime is 2206993. The reversal of 2206980 is 896022.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 32907 + ... + 32973.

It is an arithmetic number, because the mean of its divisors is an integer number (73780).

22206980 is an apocalyptic number.

2206980 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 2206980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541440).

2206980 is an abundant number, since it is smaller than the sum of its proper divisors (4875900).

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

2206980 is a wasteful number, since it uses less digits than its factorization.

2206980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2206980 is about 1485.5907915708. The cubic root of 2206980 is about 130.1965468727.

The spelling of 2206980 in words is "two million, two hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 67 90 108 122 134 135 180 183 201 244 268 270 305 335 366 402 540 549 603 610 670 732 804 915 1005 1098 1206 1220 1340 1647 1809 1830 2010 2196 2412 2745 3015 3294 3618 3660 4020 4087 5490 6030 6588 7236 8174 8235 9045 10980 12060 12261 16348 16470 18090 20435 24522 32940 36180 36783 40870 49044 61305 73566 81740 110349 122610 147132 183915 220698 245220 367830 441396 551745 735660 1103490 2206980