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228092420 = 225313761163
BaseRepresentation
bin11011001100001…
…10101000000100
3120220012021222102
431212012220010
5431342424140
634344451232
75436516323
oct1546065004
9526167872
10228092420
11107830236
1264479b18
1338341c3a
14224160ba
1515057e15
hexd986a04

228092420 has 96 divisors (see below), whose sum is σ = 519300096. Its totient is φ = 83980800.

The previous prime is 228092411. The next prime is 228092429. The reversal of 228092420 is 24290822.

It is an interprime number because it is at equal distance from previous prime (228092411) and next prime (228092429).

It is a super-2 number, since 2×2280924202 = 104052304122912800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228092429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399259 + ... + 1399421.

It is an arithmetic number, because the mean of its divisors is an integer number (5409376).

Almost surely, 2228092420 is an apocalyptic number.

228092420 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 228092420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259650048).

228092420 is an abundant number, since it is smaller than the sum of its proper divisors (291207676).

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

228092420 is a wasteful number, since it uses less digits than its factorization.

228092420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 228092420 is about 15102.7288924883. The cubic root of 228092420 is about 610.9940077790.

The spelling of 228092420 in words is "two hundred twenty-eight million, ninety-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 37 61 62 74 122 124 148 155 163 185 244 305 310 326 370 610 620 652 740 815 1147 1220 1630 1891 2257 2294 3260 3782 4514 4588 5053 5735 6031 7564 9028 9455 9943 10106 11285 11470 12062 18910 19886 20212 22570 22940 24124 25265 30155 37820 39772 45140 49715 50530 60310 69967 99430 101060 120620 139934 186961 198860 279868 308233 349835 367891 373922 616466 699670 735782 747844 934805 1232932 1399340 1471564 1541165 1839455 1869610 3082330 3678910 3739220 6164660 7357820 11404621 22809242 45618484 57023105 114046210 228092420