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228062820 = 223517376043
BaseRepresentation
bin11011001011111…
…11011001100100
3120220010210101010
431211333121210
5431341002240
634344102220
75436334116
oct1545773144
9526123333
10228062820
1110780aa77
1264464970
133833161b
14224093b6
151504e280
hexd97f664

228062820 has 96 divisors (see below), whose sum is σ = 694528128. Its totient is φ = 55683072.

The previous prime is 228062819. The next prime is 228062843. The reversal of 228062820 is 28260822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34719 + ... + 40761.

It is an arithmetic number, because the mean of its divisors is an integer number (7234668).

Almost surely, 2228062820 is an apocalyptic number.

228062820 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 228062820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347264064).

228062820 is an abundant number, since it is smaller than the sum of its proper divisors (466465308).

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

228062820 is a wasteful number, since it uses less digits than its factorization.

228062820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 228062820 is about 15101.7489053421. The cubic root of 228062820 is about 610.9675766727.

The spelling of 228062820 in words is "two hundred twenty-eight million, sixty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 555 629 740 1020 1110 1258 1887 2220 2516 3145 3774 6043 6290 7548 9435 12086 12580 18129 18870 24172 30215 36258 37740 60430 72516 90645 102731 120860 181290 205462 223591 308193 362580 410924 447182 513655 616386 670773 894364 1027310 1117955 1232772 1341546 1540965 2054620 2235910 2683092 3081930 3353865 3801047 4471820 6163860 6707730 7602094 11403141 13415460 15204188 19005235 22806282 38010470 45612564 57015705 76020940 114031410 228062820