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2225305140 = 2235291278911
BaseRepresentation
bin1000010010100011…
…0111011000110100
312202002022012202220
42010220313120310
514024134231030
61004452002340
7106100532042
oct20450673064
95662265686
102225305140
11a42143763
125213003b0
13296051706
14171787392
15d0569a10
hex84a37634

2225305140 has 48 divisors (see below), whose sum is σ = 6445716480. Its totient is φ = 572951680.

The previous prime is 2225305139. The next prime is 2225305141. The reversal of 2225305140 is 415035222.

It is an interprime number because it is at equal distance from previous prime (2225305139) and next prime (2225305141).

It is a super-2 number, since 2×22253051402 = 9903965932220839200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2225305140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225305141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637716 + ... + 641195.

It is an arithmetic number, because the mean of its divisors is an integer number (134285760).

Almost surely, 22225305140 is an apocalyptic number.

2225305140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225305140 is an abundant number, since it is smaller than the sum of its proper divisors (4220411340).

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

2225305140 is a wasteful number, since it uses less digits than its factorization.

2225305140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278952 (or 1278950 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2225305140 is about 47173.1400269263. The cubic root of 2225305140 is about 1305.5590622940.

The spelling of 2225305140 in words is "two billion, two hundred twenty-five million, three hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 1278911 2557822 3836733 5115644 6394555 7673466 12789110 15346932 19183665 25578220 37088419 38367330 74176838 76734660 111265257 148353676 185442095 222530514 370884190 445061028 556326285 741768380 1112652570 2225305140