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2225134352 = 247172774219
BaseRepresentation
bin1000010010100000…
…1101101100010000
312202001222112111102
42010220031230100
514024113244402
61004444203532
7106066221110
oct20450155420
95661875442
102225134352
11a42037411
125212395a8
13295cc1a5c
14171741040
15d0534102
hex84a0db10

2225134352 has 80 divisors (see below), whose sum is σ = 5236986240. Its totient is φ = 894081024.

The previous prime is 2225134309. The next prime is 2225134367. The reversal of 2225134352 is 2534315222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525299 + ... + 529517.

It is an arithmetic number, because the mean of its divisors is an integer number (65462328).

Almost surely, 22225134352 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 2225134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618493120).

2225134352 is an abundant number, since it is smaller than the sum of its proper divisors (3011851888).

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

2225134352 is a wasteful number, since it uses less digits than its factorization.

2225134352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4522 counting only the distinct ones).

The product of its digits is 14400, while the sum is 29.

The square root of 2225134352 is about 47171.3297671372. The cubic root of 2225134352 is about 1305.5256617022.

Adding to 2225134352 its reverse (2534315222), we get a palindrome (4759449574).

The spelling of 2225134352 in words is "two billion, two hundred twenty-five million, one hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 277 476 554 952 1108 1904 1939 2216 3878 4219 4432 4709 7756 8438 9418 15512 16876 18836 29533 31024 32963 33752 37672 59066 65926 67504 71723 75344 118132 131852 143446 236264 263704 286892 472528 502061 527408 573784 1004122 1147568 1168663 2008244 2337326 4016488 4674652 8032976 8180641 9349304 16361282 18698608 19867271 32722564 39734542 65445128 79469084 130890256 139070897 158938168 278141794 317876336 556283588 1112567176 2225134352