Search a number
-
+
2238984 = 2332112257
BaseRepresentation
bin1000100010101000001000
311012202022100
420202220020
51033121414
6115553400
725013436
oct10425010
94182270
102238984
11129a200
128bb860
13605157
14423d56
152e3609
hex222a08

2238984 has 72 divisors (see below), whose sum is σ = 6691230. Its totient is φ = 675840.

The previous prime is 2238961. The next prime is 2238989. The reversal of 2238984 is 4898322.

It can be written as a sum of positive squares in only one way, i.e., 1258884 + 980100 = 1122^2 + 990^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238989) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8584 + ... + 8840.

22238984 is an apocalyptic number.

2238984 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 2238984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345615).

2238984 is an abundant number, since it is smaller than the sum of its proper divisors (4452246).

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

2238984 is a wasteful number, since it uses less digits than its factorization.

2238984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2238984 is about 1496.3234944356. The cubic root of 2238984 is about 130.8228672530.

The spelling of 2238984 in words is "two million, two hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 257 264 363 396 484 514 726 771 792 968 1028 1089 1452 1542 2056 2178 2313 2827 2904 3084 4356 4626 5654 6168 8481 8712 9252 11308 16962 18504 22616 25443 31097 33924 50886 62194 67848 93291 101772 124388 186582 203544 248776 279873 373164 559746 746328 1119492 2238984