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2225351000 = 235317791657
BaseRepresentation
bin1000010010100100…
…0010100101011000
312202002101112200102
42010221002211120
514024142213000
61004452554532
7106101112535
oct20451024530
95662345612
102225351000
11a42175164
12521322a48
13296069552
14171799d8c
15d05783d5
hex84a42958

2225351000 has 128 divisors (see below), whose sum is σ = 5586796800. Its totient is φ = 826675200.

The previous prime is 2225350997. The next prime is 2225351033. The reversal of 2225351000 is 1535222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1342172 + ... + 1343828.

It is an arithmetic number, because the mean of its divisors is an integer number (43646850).

Almost surely, 22225351000 is an apocalyptic number.

2225351000 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 2225351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793398400).

2225351000 is an abundant number, since it is smaller than the sum of its proper divisors (3361445800).

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

2225351000 is a wasteful number, since it uses less digits than its factorization.

2225351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2225351000 is about 47173.6261061199. The cubic root of 2225351000 is about 1305.5680307310.

Adding to 2225351000 its reverse (1535222), we get a palindrome (2226886222).

The spelling of 2225351000 in words is "two billion, two hundred twenty-five million, three hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 79 85 100 125 136 158 170 200 250 316 340 395 425 500 632 680 790 850 1000 1343 1580 1657 1700 1975 2125 2686 3160 3314 3400 3950 4250 5372 6628 6715 7900 8285 8500 9875 10744 13256 13430 15800 16570 17000 19750 26860 28169 33140 33575 39500 41425 53720 56338 66280 67150 79000 82850 112676 130903 134300 140845 165700 167875 207125 225352 261806 268600 281690 331400 335750 414250 523612 563380 654515 671500 704225 828500 1047224 1126760 1309030 1343000 1408450 1657000 2225351 2618060 2816900 3272575 3521125 4450702 5236120 5633800 6545150 7042250 8901404 11126755 13090300 14084500 16362875 17802808 22253510 26180600 28169000 32725750 44507020 55633775 65451500 89014040 111267550 130903000 222535100 278168875 445070200 556337750 1112675500 2225351000