Search a number
-
+
3227070 = 2357112127
BaseRepresentation
bin1100010011110110111110
320001221201010
430103312332
51311231240
6153100050
736300240
oct14236676
96057633
103227070
111904600
1210b7626
1388cb12
14600090
1543b280
hex313dbe

3227070 has 96 divisors (see below), whose sum is σ = 9805824. Its totient is φ = 665280.

The previous prime is 3227041. The next prime is 3227129. The reversal of 3227070 is 707223.

3227070 is a nontrivial binomial coefficient, being equal to C(2541, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

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, 25347 + ... + 25473.

It is an arithmetic number, because the mean of its divisors is an integer number (102144).

Almost surely, 23227070 is an apocalyptic number.

3227070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3227070 is the 2540-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3227070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902912).

3227070 is an abundant number, since it is smaller than the sum of its proper divisors (6578754).

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

3227070 is a wasteful number, since it uses less digits than its factorization.

3227070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 3227070 is about 1796.4047428127. The cubic root of 3227070 is about 147.7756217716.

The spelling of 3227070 in words is "three million, two hundred twenty-seven thousand, seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 127 154 165 210 231 242 254 330 363 381 385 462 605 635 726 762 770 847 889 1155 1210 1270 1397 1694 1778 1815 1905 2310 2541 2667 2794 3630 3810 4191 4235 4445 5082 5334 6985 8382 8470 8890 9779 12705 13335 13970 15367 19558 20955 25410 26670 29337 30734 41910 46101 48895 58674 76835 92202 97790 107569 146685 153670 215138 230505 293370 322707 461010 537845 645414 1075690 1613535 3227070