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2238084 = 2233172353
BaseRepresentation
bin1000100010011010000100
311012201002000
420202122010
51033104314
6115545300
725011012
oct10423204
94181060
102238084
111299562
128bb230
13604914
144238b2
152e3209
hex222684

2238084 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 658944.

The previous prime is 2238079. The next prime is 2238091. The reversal of 2238084 is 4808322.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42202 + ... + 42254.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22238084 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 2238084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2238084 is an abundant number, since it is smaller than the sum of its proper divisors (4293756).

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

2238084 is a wasteful number, since it uses less digits than its factorization.

2238084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2238084 is about 1496.0227271001. The cubic root of 2238084 is about 130.8053360335.

The spelling of 2238084 in words is "two million, two hundred thirty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 53 54 68 69 92 102 106 108 138 153 159 204 207 212 276 306 318 391 414 459 477 612 621 636 782 828 901 918 954 1173 1219 1242 1431 1564 1802 1836 1908 2346 2438 2484 2703 2862 3519 3604 3657 4692 4876 5406 5724 7038 7314 8109 10557 10812 10971 14076 14628 16218 20723 21114 21942 24327 32436 32913 41446 42228 43884 48654 62169 65826 82892 97308 124338 131652 186507 248676 373014 559521 746028 1119042 2238084