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2249190 = 232567373
BaseRepresentation
bin1000100101000111100110
311020021022100
420211013212
51033433230
6120112530
725055256
oct10450746
94207270
102249190
1112a6939
12905746
136099a8
14427966
152e6660
hex2251e6

2249190 has 48 divisors (see below), whose sum is σ = 5951088. Its totient is φ = 589248.

The previous prime is 2249189. The next prime is 2249197. The reversal of 2249190 is 919422.

It is a super-2 number, since 2×22491902 = 10117711312200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5844 + ... + 6216.

It is an arithmetic number, because the mean of its divisors is an integer number (123981).

22249190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975544).

2249190 is an abundant number, since it is smaller than the sum of its proper divisors (3701898).

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

2249190 is a wasteful number, since it uses less digits than its factorization.

2249190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2249190 is about 1499.7299756956. The cubic root of 2249190 is about 131.0213433748.

The spelling of 2249190 in words is "two million, two hundred forty-nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 373 402 603 670 746 1005 1119 1206 1865 2010 2238 3015 3357 3730 5595 6030 6714 11190 16785 24991 33570 49982 74973 124955 149946 224919 249910 374865 449838 749730 1124595 2249190