Search a number
-
+
2241280 = 28517103
BaseRepresentation
bin1000100011001100000000
311012212110101
420203030000
51033210110
6120012144
725023226
oct10431400
94185411
102241280
1112a09a8
12901054
13606202
14424b16
152e413a
hex223300

2241280 has 72 divisors (see below), whose sum is σ = 5739552. Its totient is φ = 835584.

The previous prime is 2241277. The next prime is 2241299. The reversal of 2241280 is 821422.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 16.

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, 21709 + ... + 21811.

It is an arithmetic number, because the mean of its divisors is an integer number (79716).

22241280 is an apocalyptic number.

2241280 is a gapful number since it is divisible by the number (20) 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 2241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869776).

2241280 is an abundant number, since it is smaller than the sum of its proper divisors (3498272).

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

2241280 is a wasteful number, since it uses less digits than its factorization.

2241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2241280 is about 1497.0905116258. The cubic root of 2241280 is about 130.8675700719.

The spelling of 2241280 in words is "two million, two hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 103 128 136 160 170 206 256 272 320 340 412 515 544 640 680 824 1030 1088 1280 1360 1648 1751 2060 2176 2720 3296 3502 4120 4352 5440 6592 7004 8240 8755 10880 13184 14008 16480 17510 21760 26368 28016 32960 35020 56032 65920 70040 112064 131840 140080 224128 280160 448256 560320 1120640 2241280