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2225250040 = 2351322911351
BaseRepresentation
bin1000010010100010…
…1001111011111000
312202002012102012011
42010220221323320
514024131000130
61004450455304
7106100212306
oct20450517370
95662172164
102225250040
11a42106322
12521294534
13296032600
14171771276
15d055852a
hex84a29ef8

2225250040 has 96 divisors (see below), whose sum is σ = 5609023200. Its totient is φ = 793228800.

The previous prime is 2225249987. The next prime is 2225250059. The reversal of 2225250040 is 400525222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2225249993 and 2225250020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190365 + ... + 201715.

It is an arithmetic number, because the mean of its divisors is an integer number (58427325).

Almost surely, 22225250040 is an apocalyptic number.

2225250040 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 2225250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804511600).

2225250040 is an abundant number, since it is smaller than the sum of its proper divisors (3383773160).

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

2225250040 is a wasteful number, since it uses less digits than its factorization.

2225250040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11417 (or 11400 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2225250040 is about 47172.5560045245. The cubic root of 2225250040 is about 1305.5482867084.

Adding to 2225250040 its reverse (400525222), we get a palindrome (2625775262).

The spelling of 2225250040 in words is "two billion, two hundred twenty-five million, two hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 169 232 260 290 338 377 520 580 676 754 845 1160 1352 1508 1690 1885 3016 3380 3770 4901 6760 7540 9802 11351 15080 19604 22702 24505 39208 45404 49010 56755 90808 98020 113510 147563 196040 227020 295126 329179 454040 590252 658358 737815 1180504 1316716 1475630 1645895 1918319 2633432 2951260 3291790 3836638 4279327 5902520 6583580 7673276 8558654 9591595 13167160 15346552 17117308 19183190 21396635 34234616 38366380 42793270 55631251 76732760 85586540 111262502 171173080 222525004 278156255 445050008 556312510 1112625020 2225250040