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228621820 = 22574493637
BaseRepresentation
bin11011010000001…
…11110111111100
3120221012012011211
431220013313330
5432011344240
634404054204
75444152630
oct1550076774
9527165154
10228621820
11108061a59
1264694364
1338498bab
1422512dc0
151510ebea
hexda07dfc

228621820 has 48 divisors (see below), whose sum is σ = 550065600. Its totient is φ = 78188544.

The previous prime is 228621793. The next prime is 228621823. The reversal of 228621820 is 28126822.

It is a super-2 number, since 2×2286218202 = 104535873160224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228621823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61042 + ... + 64678.

It is an arithmetic number, because the mean of its divisors is an integer number (11459700).

Almost surely, 2228621820 is an apocalyptic number.

228621820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228621820 is an abundant number, since it is smaller than the sum of its proper divisors (321443780).

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

228621820 is a wasteful number, since it uses less digits than its factorization.

228621820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 228621820 is about 15120.2453683794. The cubic root of 228621820 is about 611.4663459957.

It can be divided in two parts, 228621 and 820, that added together give a square (229441 = 4792).

The spelling of 228621820 in words is "two hundred twenty-eight million, six hundred twenty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 449 898 1796 2245 3143 3637 4490 6286 7274 8980 12572 14548 15715 18185 25459 31430 36370 50918 62860 72740 101836 127295 254590 509180 1633013 3266026 6532052 8165065 11431091 16330130 22862182 32660260 45724364 57155455 114310910 228621820