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16228000 = 25534057
BaseRepresentation
bin111101111001…
…111010100000
31010112110122001
4331321322200
513123244000
61335453344
7254635645
oct75717240
933473561
1016228000
119184378
125527254
133492589
142225dcc
15165846a
hexf79ea0

16228000 has 48 divisors (see below), whose sum is σ = 39882024. Its totient is φ = 6489600.

The previous prime is 16227989. The next prime is 16228001. The reversal of 16228000 is 82261.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4857616 + 11370384 = 2204^2 + 3372^2 .

It is not an unprimeable number, because it can be changed into a prime (16228001) 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, 1972 + ... + 6028.

Almost surely, 216228000 is an apocalyptic number.

16228000 is a gapful number since it is divisible by the number (10) 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 16228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19941012).

16228000 is an abundant number, since it is smaller than the sum of its proper divisors (23654024).

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

16228000 is an equidigital number, since it uses as much as digits as its factorization.

16228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 16228000 is about 4028.3991857809. The cubic root of 16228000 is about 253.1754941688.

The spelling of 16228000 in words is "sixteen million, two hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4057 8114 16228 20285 32456 40570 64912 81140 101425 129824 162280 202850 324560 405700 507125 649120 811400 1014250 1622800 2028500 3245600 4057000 8114000 16228000