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2238820 = 2252331157
BaseRepresentation
bin1000100010100101100100
311012202002021
420202211210
51033120240
6115552524
725013113
oct10424544
94182067
102238820
11129a071
128bb744
1360505c
14423c7a
152e354a
hex222964

2238820 has 48 divisors (see below), whose sum is σ = 5096448. Its totient is φ = 823680.

The previous prime is 2238811. The next prime is 2238823. The reversal of 2238820 is 288322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14182 + ... + 14338.

It is an arithmetic number, because the mean of its divisors is an integer number (106176).

22238820 is an apocalyptic number.

2238820 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 2238820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548224).

2238820 is an abundant number, since it is smaller than the sum of its proper divisors (2857628).

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

2238820 is a wasteful number, since it uses less digits than its factorization.

2238820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2238820 is about 1496.2686924480. The cubic root of 2238820 is about 130.8196730253.

The spelling of 2238820 in words is "two million, two hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 157 230 310 314 460 620 628 713 785 1426 1570 2852 3140 3565 3611 4867 7130 7222 9734 14260 14444 18055 19468 24335 36110 48670 72220 97340 111941 223882 447764 559705 1119410 2238820