Search a number
-
+
2226708320 = 25521165957
BaseRepresentation
bin1000010010111000…
…1101111101100000
312202011221111120112
42010232031331200
514030014131240
61004542030452
7106115464664
oct20456157540
95664844515
102226708320
11a42a11a11
12521878428
132964232b5
14171a308a4
15d0745665
hex84b8df60

2226708320 has 48 divisors (see below), whose sum is σ = 5285610288. Its totient is φ = 886448640.

The previous prime is 2226708283. The next prime is 2226708329. The reversal of 2226708320 is 238076222.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226708329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 782 + ... + 66738.

It is an arithmetic number, because the mean of its divisors is an integer number (110116881).

Almost surely, 22226708320 is an apocalyptic number.

2226708320 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 2226708320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642805144).

2226708320 is an abundant number, since it is smaller than the sum of its proper divisors (3058901968).

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

2226708320 is a wasteful number, since it uses less digits than its factorization.

2226708320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66183 (or 66175 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2226708320 is about 47188.0103416111. The cubic root of 2226708320 is about 1305.8334141002.

The spelling of 2226708320 in words is "two billion, two hundred twenty-six million, seven hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 211 422 844 1055 1688 2110 3376 4220 6752 8440 16880 33760 65957 131914 263828 329785 527656 659570 1055312 1319140 2110624 2638280 5276560 10553120 13916927 27833854 55667708 69584635 111335416 139169270 222670832 278338540 445341664 556677080 1113354160 2226708320