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2022328 = 23731167
BaseRepresentation
bin111101101101110111000
310210202010001
413231232320
51004203303
6111202344
723122000
oct7555670
93722101
102022328
111161450
128163b4
1355a659
143a9000
1529e31d
hex1edbb8

2022328 has 64 divisors (see below), whose sum is σ = 4896000. Its totient is φ = 776160.

The previous prime is 2022301. The next prime is 2022329. The reversal of 2022328 is 8232202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022329) 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, 30151 + ... + 30217.

It is an arithmetic number, because the mean of its divisors is an integer number (76500).

22022328 is an apocalyptic number.

2022328 is a gapful number since it is divisible by the number (28) 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 2022328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448000).

2022328 is an abundant number, since it is smaller than the sum of its proper divisors (2873672).

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

2022328 is a wasteful number, since it uses less digits than its factorization.

2022328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2022328 is about 1422.0857920674. The cubic root of 2022328 is about 126.4592295719.

The spelling of 2022328 in words is "two million, twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 67 77 88 98 134 154 196 268 308 343 392 469 536 539 616 686 737 938 1078 1372 1474 1876 2156 2744 2948 3283 3752 3773 4312 5159 5896 6566 7546 10318 13132 15092 20636 22981 26264 30184 36113 41272 45962 72226 91924 144452 183848 252791 288904 505582 1011164 2022328