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2238500 = 225311237
BaseRepresentation
bin1000100010100000100100
311012201122102
420202200210
51033113000
6115551232
725012145
oct10424044
94181572
102238500
111299900
128bb518
13604b74
14423acc
152e33d5
hex222824

2238500 has 72 divisors (see below), whose sum is σ = 5518968. Its totient is φ = 792000.

The previous prime is 2238491. The next prime is 2238527. The reversal of 2238500 is 58322.

It can be written as a sum of positive squares in 4 ways, for example, as 484 + 2238016 = 22^2 + 1496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 60482 + ... + 60518.

22238500 is an apocalyptic number.

2238500 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 2238500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759484).

2238500 is an abundant number, since it is smaller than the sum of its proper divisors (3280468).

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

2238500 is a wasteful number, since it uses less digits than its factorization.

2238500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2238500 is about 1496.1617559609. The cubic root of 2238500 is about 130.8134399367.

The spelling of 2238500 in words is "two million, two hundred thirty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 121 125 148 185 220 242 250 275 370 407 484 500 550 605 740 814 925 1100 1210 1375 1628 1850 2035 2420 2750 3025 3700 4070 4477 4625 5500 6050 8140 8954 9250 10175 12100 15125 17908 18500 20350 22385 30250 40700 44770 50875 60500 89540 101750 111925 203500 223850 447700 559625 1119250 2238500