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37228230 = 23251347677
BaseRepresentation
bin1000111000000…
…0111011000110
32121001101112100
42032000323012
534012300410
63405532530
7631302054
oct216007306
977041470
1037228230
111a018136
1210574146
137936050
144d311d4
1534058c0
hex2380ec6

37228230 has 96 divisors (see below), whose sum is σ = 106614144. Its totient is φ = 8955648.

The previous prime is 37228229. The next prime is 37228259. The reversal of 37228230 is 3282273.

It is a super-2 number, since 2×372282302 = 2771882217865800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37228194 and 37228203.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 54652 + ... + 55328.

It is an arithmetic number, because the mean of its divisors is an integer number (1110564).

Almost surely, 237228230 is an apocalyptic number.

37228230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37228230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53307072).

37228230 is an abundant number, since it is smaller than the sum of its proper divisors (69385914).

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

37228230 is a wasteful number, since it uses less digits than its factorization.

37228230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 37228230 is about 6101.4940793219. The cubic root of 37228230 is about 333.9059280648.

The spelling of 37228230 in words is "thirty-seven million, two hundred twenty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 47 65 78 90 94 117 130 141 195 234 235 282 390 423 470 585 611 677 705 846 1170 1222 1354 1410 1833 2031 2115 3055 3385 3666 4062 4230 5499 6093 6110 6770 8801 9165 10155 10998 12186 17602 18330 20310 26403 27495 30465 31819 44005 52806 54990 60930 63638 79209 88010 95457 132015 158418 159095 190914 264030 286371 318190 396045 413647 477285 572742 792090 827294 954570 1240941 1431855 2068235 2481882 2863710 3722823 4136470 6204705 7445646 12409410 18614115 37228230