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2225426272 = 252337711151
BaseRepresentation
bin1000010010100101…
…0100111101100000
312202002112100221021
42010221110331200
514024202120042
61004454335224
7106101545146
oct20451247540
95662470837
102225426272
11a42216773
1252135a514
132960948a4
141717b9596
15d0590867
hex84a54f60

2225426272 has 96 divisors (see below), whose sum is σ = 4765630464. Its totient is φ = 1020096000.

The previous prime is 2225426227. The next prime is 2225426299. The reversal of 2225426272 is 2726245222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1932897 + ... + 1934047.

It is an arithmetic number, because the mean of its divisors is an integer number (49641984).

Almost surely, 22225426272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225426272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382815232).

2225426272 is an abundant number, since it is smaller than the sum of its proper divisors (2540204192).

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

2225426272 is a wasteful number, since it uses less digits than its factorization.

2225426272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its digits is 53760, while the sum is 34.

The square root of 2225426272 is about 47174.4239180512. The cubic root of 2225426272 is about 1305.5827507473.

The spelling of 2225426272 in words is "two billion, two hundred twenty-five million, four hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 37 46 71 74 92 142 148 184 284 296 368 568 592 736 851 1136 1151 1184 1633 1702 2272 2302 2627 3266 3404 4604 5254 6532 6808 9208 10508 13064 13616 18416 21016 26128 26473 27232 36832 42032 42587 52256 52946 60421 81721 84064 85174 105892 120842 163442 170348 211784 241684 326884 340696 423568 483368 653768 681392 847136 966736 979501 1307536 1362784 1879583 1933472 1959002 2615072 3023677 3759166 3918004 6047354 7518332 7836008 12094708 15036664 15672016 24189416 30073328 31344032 48378832 60146656 69544571 96757664 139089142 278178284 556356568 1112713136 2225426272