Search a number
-
+
2215290 = 2357211137
BaseRepresentation
bin1000011100110101111010
311011112210210
420130311322
51031342130
6115251550
724554400
oct10346572
94145723
102215290
111283420
128a9bb6
135c742c
14419470
152db5b0
hex21cd7a

2215290 has 96 divisors (see below), whose sum is σ = 6796224. Its totient is φ = 456960.

The previous prime is 2215277. The next prime is 2215303. The reversal of 2215290 is 925122.

2215290 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 (2215277) and next prime (2215303).

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

2215290 is strictly pandigital in base 8.

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, 16102 + ... + 16238.

It is an arithmetic number, because the mean of its divisors is an integer number (70794).

22215290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2215290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398112).

2215290 is an abundant number, since it is smaller than the sum of its proper divisors (4580934).

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

2215290 is a wasteful number, since it uses less digits than its factorization.

2215290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2215290 is about 1488.3850308304. The cubic root of 2215290 is about 130.3597530328.

The spelling of 2215290 in words is "two million, two hundred fifteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 137 147 154 165 210 231 245 274 294 330 385 411 462 490 539 685 735 770 822 959 1078 1155 1370 1470 1507 1617 1918 2055 2310 2695 2877 3014 3234 4110 4521 4795 5390 5754 6713 7535 8085 9042 9590 10549 13426 14385 15070 16170 20139 21098 22605 28770 31647 33565 40278 45210 52745 63294 67130 73843 100695 105490 147686 158235 201390 221529 316470 369215 443058 738430 1107645 2215290