Search a number
-
+
8228240 = 245163631
BaseRepresentation
bin11111011000110110010000
3120111001000122
4133120312100
54101300430
6452205412
7126640016
oct37306620
916431018
108228240
11470aaa9
122909868
1319212a7
1411428b6
15ac7ee5
hex7d8d90

8228240 has 40 divisors (see below), whose sum is σ = 19278528. Its totient is φ = 3265920.

The previous prime is 8228201. The next prime is 8228263. The reversal of 8228240 is 428228.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12725 + ... + 13355.

Almost surely, 28228240 is an apocalyptic number.

8228240 is a gapful number since it is divisible by the number (80) 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 8228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639264).

8228240 is an abundant number, since it is smaller than the sum of its proper divisors (11050288).

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

8228240 is a wasteful number, since it uses less digits than its factorization.

8228240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 8228240 is about 2868.4908924380. The cubic root of 8228240 is about 201.8841933338.

The spelling of 8228240 in words is "eight million, two hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 631 652 815 1262 1304 1630 2524 2608 3155 3260 5048 6310 6520 10096 12620 13040 25240 50480 102853 205706 411412 514265 822824 1028530 1645648 2057060 4114120 8228240