Search a number
-
+
228595680 = 25325158747
BaseRepresentation
bin11011010000000…
…01011111100000
3120221010212022200
431220001133200
5432010030210
634403333200
75444013465
oct1550013740
9527125280
10228595680
11108044355
1264681200
133848a021
142250766c
15151070c0
hexda017e0

228595680 has 72 divisors (see below), whose sum is σ = 780087672. Its totient is φ = 60958464.

The previous prime is 228595673. The next prime is 228595681. The reversal of 228595680 is 86595822.

228595680 is a `hidden beast` number, since 2 + 2 + 85 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228595681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77934 + ... + 80813.

It is an arithmetic number, because the mean of its divisors is an integer number (10834551).

Almost surely, 2228595680 is an apocalyptic number.

228595680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228595680 is an abundant number, since it is smaller than the sum of its proper divisors (551491992).

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

228595680 is a wasteful number, since it uses less digits than its factorization.

228595680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158768 (or 158757 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 228595680 is about 15119.3809397078. The cubic root of 228595680 is about 611.4430406385.

The spelling of 228595680 in words is "two hundred twenty-eight million, five hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 158747 317494 476241 634988 793735 952482 1269976 1428723 1587470 1904964 2381205 2539952 2857446 3174940 3809928 4762410 5079904 5714892 6349880 7143615 7619856 9524820 11429784 12699760 14287230 15239712 19049640 22859568 25399520 28574460 38099280 45719136 57148920 76198560 114297840 228595680