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2225531340 = 2232529617691
BaseRepresentation
bin1000010010100110…
…1110100111001100
312202002201201001200
42010221232213030
514024214000330
61004500505500
7106102463364
oct20451564714
95662651050
102225531340
11a422886aa
125213ab290
13296100666
141718059a4
15d05b1a60
hex84a6e9cc

2225531340 has 144 divisors (see below), whose sum is σ = 7005005280. Its totient is φ = 571253760.

The previous prime is 2225531333. The next prime is 2225531383. The reversal of 2225531340 is 431355222.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3220395 + ... + 3221085.

It is an arithmetic number, because the mean of its divisors is an integer number (48645870).

Almost surely, 22225531340 is an apocalyptic number.

2225531340 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 2225531340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502502640).

2225531340 is an abundant number, since it is smaller than the sum of its proper divisors (4779473940).

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

2225531340 is a wasteful number, since it uses less digits than its factorization.

2225531340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2225531340 is about 47175.5375168106. The cubic root of 2225531340 is about 1305.6032970446.

Adding to 2225531340 its reverse (431355222), we get a palindrome (2656886562).

The spelling of 2225531340 in words is "two billion, two hundred twenty-five million, five hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 617 691 870 1044 1234 1305 1382 1740 1851 2073 2468 2610 2764 3085 3455 3702 4146 5220 5553 6170 6219 6910 7404 8292 9255 10365 11106 12340 12438 13820 17893 18510 20039 20730 22212 24876 27765 31095 35786 37020 40078 41460 53679 55530 60117 62190 71572 80156 89465 100195 107358 111060 120234 124380 161037 178930 180351 200390 214716 240468 268395 300585 322074 357860 360702 400780 426347 536790 601170 644148 721404 805185 852694 901755 1073580 1202340 1279041 1610370 1705388 1803510 2131735 2558082 3220740 3607020 3837123 4263470 5116164 6395205 7674246 8526940 12364063 12790410 15348492 19185615 24728126 25580820 37092189 38371230 49456252 61820315 74184378 76742460 111276567 123640630 148368756 185460945 222553134 247281260 370921890 445106268 556382835 741843780 1112765670 2225531340