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2225031300 = 22325222710891
BaseRepresentation
bin1000010010011111…
…0100100010000100
312202001210022010200
42010213310202010
514024102000200
61004442050500
7106065311502
oct20447644204
95661708120
102225031300
11a41a76a48
125211a9a30
13295c86b8b
14171715672
15d0513800
hex849f4884

2225031300 has 108 divisors (see below), whose sum is σ = 7005603696. Its totient is φ = 590673600.

The previous prime is 2225031283. The next prime is 2225031301. The reversal of 2225031300 is 31305222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2225031301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198855 + ... + 209745.

Almost surely, 22225031300 is an apocalyptic number.

2225031300 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 2225031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502801848).

2225031300 is an abundant number, since it is smaller than the sum of its proper divisors (4780572396).

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

2225031300 is a wasteful number, since it uses less digits than its factorization.

2225031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11138 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2225031300 is about 47170.2374384526. The cubic root of 2225031300 is about 1305.5055072476.

Adding to 2225031300 its reverse (31305222), we get a palindrome (2256336522).

The spelling of 2225031300 in words is "two billion, two hundred twenty-five million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 227 300 450 454 681 900 908 1135 1362 2043 2270 2724 3405 4086 4540 5675 6810 8172 10215 10891 11350 13620 17025 20430 21782 22700 32673 34050 40860 43564 51075 54455 65346 68100 98019 102150 108910 130692 163365 196038 204300 217820 272275 326730 392076 490095 544550 653460 816825 980190 1089100 1633650 1960380 2450475 2472257 3267300 4900950 4944514 7416771 9801900 9889028 12361285 14833542 22250313 24722570 29667084 37083855 44500626 49445140 61806425 74167710 89001252 111251565 123612850 148335420 185419275 222503130 247225700 370838550 445006260 556257825 741677100 1112515650 2225031300