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1988224 = 2772317
BaseRepresentation
bin111100101011010000000
310202000022221
413211122000
51002110344
6110340424
722620400
oct7453200
93660287
101988224
111138867
127ba714
13547c84
1439a800
15294184
hex1e5680

1988224 has 48 divisors (see below), whose sum is σ = 4622130. Its totient is φ = 849408.

The previous prime is 1988221. The next prime is 1988227. The reversal of 1988224 is 4228891.

It is an interprime number because it is at equal distance from previous prime (1988221) and next prime (1988227).

It can be written as a sum of positive squares in only one way, i.e., 1960000 + 28224 = 1400^2 + 168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1988224.

It is not an unprimeable number, because it can be changed into a prime (1988221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6114 + ... + 6430.

21988224 is an apocalyptic number.

1988224 is a gapful number since it is divisible by the number (14) 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 1988224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311065).

1988224 is an abundant number, since it is smaller than the sum of its proper divisors (2633906).

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

1988224 is an equidigital number, since it uses as much as digits as its factorization.

1988224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 326 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 1988224 is about 1410.0439709456. The cubic root of 1988224 is about 125.7443375617.

The spelling of 1988224 in words is "one million, nine hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 317 392 448 634 784 896 1268 1568 2219 2536 3136 4438 5072 6272 8876 10144 15533 17752 20288 31066 35504 40576 62132 71008 124264 142016 248528 284032 497056 994112 1988224