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2238900 = 2235217439
BaseRepresentation
bin1000100010100110110100
311012202012020
420202212310
51033121100
6115553140
725013256
oct10424664
94182166
102238900
11129a134
128bb7b0
136050c1
14423cd6
152e35a0
hex2229b4

2238900 has 72 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 560640.

The previous prime is 2238823. The next prime is 2238931. The reversal of 2238900 is 98322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4881 + ... + 5319.

It is an arithmetic number, because the mean of its divisors is an integer number (95480).

22238900 is an apocalyptic number.

2238900 is a gapful number since it is divisible by the number (20) 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 2238900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2238900 is an abundant number, since it is smaller than the sum of its proper divisors (4635660).

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

2238900 is a wasteful number, since it uses less digits than its factorization.

2238900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2238900 is about 1496.2954253756. The cubic root of 2238900 is about 130.8212312046.

The spelling of 2238900 in words is "two million, two hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 439 510 850 878 1020 1275 1317 1700 1756 2195 2550 2634 4390 5100 5268 6585 7463 8780 10975 13170 14926 21950 22389 26340 29852 32925 37315 43900 44778 65850 74630 89556 111945 131700 149260 186575 223890 373150 447780 559725 746300 1119450 2238900