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2225321300 = 2252238311657
BaseRepresentation
bin1000010010100011…
…1011010101010100
312202002100000221102
42010220323111110
514024140240200
61004452205232
7106100630126
oct20450732524
95662300842
102225321300
11a42154914
12521309818
13296058b87
1417178d216
15d056e6d5
hex84a3b554

2225321300 has 72 divisors (see below), whose sum is σ = 5100048576. Its totient is φ = 841096960.

The previous prime is 2225321279. The next prime is 2225321309. The reversal of 2225321300 is 31235222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225321309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185072 + ... + 196728.

It is an arithmetic number, because the mean of its divisors is an integer number (70834008).

Almost surely, 22225321300 is an apocalyptic number.

2225321300 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 2225321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550024288).

2225321300 is an abundant number, since it is smaller than the sum of its proper divisors (2874727276).

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

2225321300 is a wasteful number, since it uses less digits than its factorization.

2225321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11777 (or 11770 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2225321300 is about 47173.3113105281. The cubic root of 2225321300 is about 1305.5622225772.

Adding to 2225321300 its reverse (31235222), we get a palindrome (2256556522).

The spelling of 2225321300 in words is "two billion, two hundred twenty-five million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 83 92 100 115 166 230 332 415 460 575 830 1150 1660 1909 2075 2300 3818 4150 7636 8300 9545 11657 19090 23314 38180 46628 47725 58285 95450 116570 190900 233140 268111 291425 536222 582850 967531 1072444 1165700 1340555 1935062 2681110 3870124 4837655 5362220 6702775 9675310 13405550 19350620 22253213 24188275 26811100 44506426 48376550 89012852 96753100 111266065 222532130 445064260 556330325 1112660650 2225321300