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2225070 = 23454167
BaseRepresentation
bin1000011111001110101110
311012001020000
420133032232
51032200240
6115405130
724625041
oct10371656
94161200
102225070
11128a801
128b37a6
135cba13
1441cc58
152de430
hex21f3ae

2225070 has 80 divisors (see below), whose sum is σ = 6220368. Its totient is φ = 570240.

The previous prime is 2225063. The next prime is 2225077. The reversal of 2225070 is 705222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2225063) and next prime (2225077).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33177 + ... + 33243.

22225070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110184).

2225070 is an abundant number, since it is smaller than the sum of its proper divisors (3995298).

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

2225070 is a wasteful number, since it uses less digits than its factorization.

2225070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2225070 is about 1491.6668528864. Note that the first 3 decimals coincide. The cubic root of 2225070 is about 130.5513076096.

The spelling of 2225070 in words is "two million, two hundred twenty-five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 67 81 82 90 123 134 135 162 201 205 246 270 335 369 402 405 410 603 615 670 738 810 1005 1107 1206 1230 1809 1845 2010 2214 2747 3015 3321 3618 3690 5427 5494 5535 6030 6642 8241 9045 10854 11070 13735 16482 16605 18090 24723 27135 27470 33210 41205 49446 54270 74169 82410 123615 148338 222507 247230 370845 445014 741690 1112535 2225070