Search a number
-
+
2224992 = 253721143
BaseRepresentation
bin1000011111001101100000
311012001010010
420133031200
51032144432
6115404520
724624600
oct10371540
94161103
102224992
11128a740
128b3740
135cb983
1441cc00
152de3cc
hex21f360

2224992 has 144 divisors (see below), whose sum is σ = 7584192. Its totient is φ = 564480.

The previous prime is 2224991. The next prime is 2225009. The reversal of 2224992 is 2994222.

Its product of digits (5184) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224991) 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, 51723 + ... + 51765.

It is an arithmetic number, because the mean of its divisors is an integer number (52668).

22224992 is an apocalyptic number.

2224992 is a gapful number since it is divisible by the number (22) 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 2224992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792096).

2224992 is an abundant number, since it is smaller than the sum of its proper divisors (5359200).

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

2224992 is a wasteful number, since it uses less digits than its factorization.

2224992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 2224992 is about 1491.6407074091. The cubic root of 2224992 is about 130.5497820963.

The spelling of 2224992 in words is "two million, two hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 43 44 48 49 56 66 77 84 86 88 96 98 112 129 132 147 154 168 172 176 196 224 231 258 264 294 301 308 336 344 352 392 462 473 516 528 539 588 602 616 672 688 784 903 924 946 1032 1056 1078 1176 1204 1232 1376 1419 1568 1617 1806 1848 1892 2064 2107 2156 2352 2408 2464 2838 3234 3311 3612 3696 3784 4128 4214 4312 4704 4816 5676 6321 6468 6622 7224 7392 7568 8428 8624 9632 9933 11352 12642 12936 13244 14448 15136 16856 17248 19866 22704 23177 25284 25872 26488 28896 33712 39732 45408 46354 50568 51744 52976 67424 69531 79464 92708 101136 105952 139062 158928 185416 202272 278124 317856 370832 556248 741664 1112496 2224992