Search a number
-
+
2249400 = 2335223163
BaseRepresentation
bin1000100101001010111000
311020021121010
420211022320
51033440100
6120113520
725056006
oct10451270
94207533
102249400
1112a700a
129058a0
13609b0a
14427a76
152e6750
hex2252b8

2249400 has 96 divisors (see below), whose sum is σ = 7320960. Its totient is φ = 570240.

The previous prime is 2249399. The next prime is 2249411. The reversal of 2249400 is 49422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13719 + ... + 13881.

It is an arithmetic number, because the mean of its divisors is an integer number (76260).

22249400 is an apocalyptic number.

2249400 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 2249400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660480).

2249400 is an abundant number, since it is smaller than the sum of its proper divisors (5071560).

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

2249400 is a wasteful number, since it uses less digits than its factorization.

2249400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2249400 is about 1499.7999866649. The cubic root of 2249400 is about 131.0254209354.

The spelling of 2249400 in words is "two million, two hundred forty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 163 184 200 230 276 300 326 345 460 489 552 575 600 652 690 815 920 978 1150 1304 1380 1630 1725 1956 2300 2445 2760 3260 3450 3749 3912 4075 4600 4890 6520 6900 7498 8150 9780 11247 12225 13800 14996 16300 18745 19560 22494 24450 29992 32600 37490 44988 48900 56235 74980 89976 93725 97800 112470 149960 187450 224940 281175 374900 449880 562350 749800 1124700 2249400