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2226452250 = 235311401673
BaseRepresentation
bin1000010010110100…
…1111011100011010
312202011110111022110
42010231033130122
514024432433000
61004532333150
7106113350301
oct20455173432
95664414273
102226452250
11a42857590
125217741b6
13296363889
141719a5438
15d06e4850
hex84b4f71a

2226452250 has 128 divisors (see below), whose sum is σ = 6086575872. Its totient is φ = 537600000.

The previous prime is 2226452149. The next prime is 2226452251. The reversal of 2226452250 is 522546222.

2226452250 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2226452251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3307914 + ... + 3308586.

It is an arithmetic number, because the mean of its divisors is an integer number (47551374).

Almost surely, 22226452250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226452250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043287936).

2226452250 is an abundant number, since it is smaller than the sum of its proper divisors (3860123622).

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

2226452250 is a wasteful number, since it uses less digits than its factorization.

2226452250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2226452250 is about 47185.2969684413. The cubic root of 2226452250 is about 1305.7833555185.

Adding to 2226452250 its reverse (522546222), we get a palindrome (2748998472).

The spelling of 2226452250 in words is "two billion, two hundred twenty-six million, four hundred fifty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 125 150 165 250 275 330 375 401 550 673 750 802 825 1203 1346 1375 1650 2005 2019 2406 2750 3365 4010 4038 4125 4411 6015 6730 7403 8250 8822 10025 10095 12030 13233 14806 16825 20050 20190 22055 22209 26466 30075 33650 37015 44110 44418 50125 50475 60150 66165 74030 84125 100250 100950 110275 111045 132330 150375 168250 185075 220550 222090 252375 269873 300750 330825 370150 504750 539746 551375 555225 661650 809619 925375 1102750 1110450 1349365 1619238 1654125 1850750 2698730 2776125 2968603 3308250 4048095 5552250 5937206 6746825 8096190 8905809 13493650 14843015 17811618 20240475 29686030 33734125 40480950 44529045 67468250 74215075 89058090 101202375 148430150 202404750 222645225 371075375 445290450 742150750 1113226125 2226452250