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2225310000 = 2435474177
BaseRepresentation
bin1000010010100011…
…1000100100110000
312202002022110102220
42010220320210300
514024134410000
61004452041040
7106100552154
oct20450704460
95662273386
102225310000
11a42147381
12521303180
132960539a4
14171789064
15d056b1a0
hex84a38930

2225310000 has 100 divisors (see below), whose sum is σ = 7183694232. Its totient is φ = 593408000.

The previous prime is 2225309941. The next prime is 2225310011. The reversal of 2225310000 is 135222.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×22253100002 = 9904009192200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 19 ways as a sum of consecutive naturals, for example, 7089 + ... + 67088.

Almost surely, 22225310000 is an apocalyptic number.

2225310000 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 2225310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591847116).

2225310000 is an abundant number, since it is smaller than the sum of its proper divisors (4958384232).

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

2225310000 is an equidigital number, since it uses as much as digits as its factorization.

2225310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74208 (or 74187 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2225310000 is about 47173.1915392631. The cubic root of 2225310000 is about 1305.5600127273.

Adding to 2225310000 its reverse (135222), we get a palindrome (2225445222).

The spelling of 2225310000 in words is "two billion, two hundred twenty-five million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 74177 148354 222531 296708 370885 445062 593416 741770 890124 1112655 1186832 1483540 1780248 1854425 2225310 2967080 3560496 3708850 4450620 5563275 5934160 7417700 8901240 9272125 11126550 14835400 17802480 18544250 22253100 27816375 29670800 37088500 44506200 46360625 55632750 74177000 89012400 92721250 111265500 139081875 148354000 185442500 222531000 278163750 370885000 445062000 556327500 741770000 1112655000 2225310000