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2228408 = 237133061
BaseRepresentation
bin1000100000000010111000
311012012210122
420200002320
51032302113
6115432412
724640550
oct10400270
94165718
102228408
111292266
128b5708
136003b0
14420160
152e0408
hex2200b8

2228408 has 32 divisors (see below), whose sum is σ = 5144160. Its totient is φ = 881280.

The previous prime is 2228407. The next prime is 2228417. The reversal of 2228408 is 8048222.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 25 + 27 + 217 + 8 + 42 + 0 + 87 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 803 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (160755).

22228408 is an apocalyptic number.

2228408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2228408 is an abundant number, since it is smaller than the sum of its proper divisors (2915752).

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

2228408 is a wasteful number, since it uses less digits than its factorization.

2228408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2228408 is about 1492.7853161121. The cubic root of 2228408 is about 130.6165583702.

The spelling of 2228408 in words is "two million, two hundred twenty-eight thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 3061 6122 12244 21427 24488 39793 42854 79586 85708 159172 171416 278551 318344 557102 1114204 2228408