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2249424 = 243341127
BaseRepresentation
bin1000100101001011010000
311020021122000
420211023100
51033440144
6120114000
725056042
oct10451320
94207560
102249424
1112a7031
12905900
13609b28
14427a92
152e6769
hex2252d0

2249424 has 80 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 725760.

The previous prime is 2249419. The next prime is 2249431. The reversal of 2249424 is 4249422.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 17649 + ... + 17775.

It is an arithmetic number, because the mean of its divisors is an integer number (83328).

22249424 is an apocalyptic number.

2249424 is a gapful number since it is divisible by the number (24) 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 2249424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120).

2249424 is an abundant number, since it is smaller than the sum of its proper divisors (4416816).

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

2249424 is a wasteful number, since it uses less digits than its factorization.

2249424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2249424 is about 1499.8079877104. The cubic root of 2249424 is about 131.0258869262.

The spelling of 2249424 in words is "two million, two hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 127 144 164 216 246 254 328 369 381 432 492 508 656 738 762 984 1016 1107 1143 1476 1524 1968 2032 2214 2286 2952 3048 3429 4428 4572 5207 5904 6096 6858 8856 9144 10414 13716 15621 17712 18288 20828 27432 31242 41656 46863 54864 62484 83312 93726 124968 140589 187452 249936 281178 374904 562356 749808 1124712 2249424