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1990224 = 243317271
BaseRepresentation
bin111100101111001010000
310202010002000
413211321100
51002141344
6110354000
722626255
oct7457120
93663060
101990224
11113a315
127bb900
13548b62
1439b42c
15294a69
hex1e5e50

1990224 has 80 divisors (see below), whose sum is σ = 6071040. Its totient is φ = 622080.

The previous prime is 1990223. The next prime is 1990229. The reversal of 1990224 is 4220991.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7209 + ... + 7479.

It is an arithmetic number, because the mean of its divisors is an integer number (75888).

21990224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035520).

1990224 is an abundant number, since it is smaller than the sum of its proper divisors (4080816).

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

1990224 is a wasteful number, since it uses less digits than its factorization.

1990224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

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

The square root of 1990224 is about 1410.7529904275. The cubic root of 1990224 is about 125.7864864672.

The spelling of 1990224 in words is "one million, nine hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 271 272 306 408 432 459 542 612 813 816 918 1084 1224 1626 1836 2168 2439 2448 3252 3672 4336 4607 4878 6504 7317 7344 9214 9756 13008 13821 14634 18428 19512 27642 29268 36856 39024 41463 55284 58536 73712 82926 110568 117072 124389 165852 221136 248778 331704 497556 663408 995112 1990224