Search a number
-
+
228644840 = 23523318017
BaseRepresentation
bin11011010000011…
…01011111101000
3120221020100202102
431220031133220
5432013113330
634404352532
75444310014
oct1550153750
9527210672
10228644840
11108078286
12646a5748
13384a6508
142251b544
1515116945
hexda0d7e8

228644840 has 64 divisors (see below), whose sum is σ = 554204160. Its totient is φ = 84648960.

The previous prime is 228644837. The next prime is 228644873. The reversal of 228644840 is 48446822.

It is a junction number, because it is equal to n+sod(n) for n = 228644794 and 228644803.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24512 + ... + 32528.

It is an arithmetic number, because the mean of its divisors is an integer number (8659440).

Almost surely, 2228644840 is an apocalyptic number.

228644840 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 228644840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277102080).

228644840 is an abundant number, since it is smaller than the sum of its proper divisors (325559320).

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

228644840 is a wasteful number, since it uses less digits than its factorization.

228644840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 228644840 is about 15121.0065802512. The cubic root of 228644840 is about 611.4868682171.

The spelling of 228644840 in words is "two hundred twenty-eight million, six hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 620 713 920 1240 1426 2852 3565 5704 7130 8017 14260 16034 28520 32068 40085 64136 80170 160340 184391 248527 320680 368782 497054 737564 921955 994108 1242635 1475128 1843910 1988216 2485270 3687820 4970540 5716121 7375640 9941080 11432242 22864484 28580605 45728968 57161210 114322420 228644840