Search a number
-
+
2219490 = 2325713271
BaseRepresentation
bin1000011101110111100010
311011202120100
420131313202
51032010430
6115323230
724602550
oct10356742
94152510
102219490
111286599
128b0516
135c9310
1441abd0
152dc960
hex21dde2

2219490 has 96 divisors (see below), whose sum is σ = 7128576. Its totient is φ = 466560.

The previous prime is 2219489. The next prime is 2219491. The reversal of 2219490 is 949122.

2219490 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2219489) and next prime (2219491).

It is a super-2 number, since 2×22194902 = 9852271720200, which contains 22 as substring.

2219490 is strictly pandigital in base 8.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2219491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8055 + ... + 8325.

It is an arithmetic number, because the mean of its divisors is an integer number (74256).

22219490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2219490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564288).

2219490 is an abundant number, since it is smaller than the sum of its proper divisors (4909086).

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

2219490 is a wasteful number, since it uses less digits than its factorization.

2219490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2219490 is about 1489.7952879507. The cubic root of 2219490 is about 130.4420846637.

The spelling of 2219490 in words is "two million, two hundred nineteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 271 273 315 390 455 542 546 585 630 813 819 910 1170 1355 1365 1626 1638 1897 2439 2710 2730 3523 3794 4065 4095 4878 5691 7046 8130 8190 9485 10569 11382 12195 17073 17615 18970 21138 24390 24661 28455 31707 34146 35230 49322 52845 56910 63414 73983 85365 105690 123305 147966 158535 170730 221949 246610 317070 369915 443898 739830 1109745 2219490