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3146220 = 22325711227
BaseRepresentation
bin1100000000000111101100
312220211210200
430000013230
51301134340
6151233500
735512440
oct14000754
95824720
103146220
111859890
121078890
1386208c
145bc820
15422330
hex3001ec

3146220 has 144 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 650880.

The previous prime is 3146219. The next prime is 3146237. The reversal of 3146220 is 226413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 35 + 1 + 410 + 63 + 25 + 221 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3146193 and 3146202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13747 + ... + 13973.

It is an arithmetic number, because the mean of its divisors is an integer number (82992).

Almost surely, 23146220 is an apocalyptic number.

3146220 is a gapful number since it is divisible by the number (30) 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 3146220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

3146220 is an abundant number, since it is smaller than the sum of its proper divisors (8804628).

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

3146220 is a wasteful number, since it uses less digits than its factorization.

3146220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3146220 is about 1773.7587209088. The cubic root of 3146220 is about 146.5310615295.

The spelling of 3146220 in words is "three million, one hundred forty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 227 231 252 308 315 330 385 396 420 454 462 495 630 660 681 693 770 908 924 990 1135 1155 1260 1362 1386 1540 1589 1980 2043 2270 2310 2497 2724 2772 3178 3405 3465 4086 4540 4620 4767 4994 6356 6810 6930 7491 7945 8172 9534 9988 10215 12485 13620 13860 14301 14982 15890 17479 19068 20430 22473 23835 24970 28602 29964 31780 34958 37455 40860 44946 47670 49940 52437 57204 69916 71505 74910 87395 89892 95340 104874 112365 143010 149820 157311 174790 209748 224730 262185 286020 314622 349580 449460 524370 629244 786555 1048740 1573110 3146220