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2253340100 = 2252114194889
BaseRepresentation
bin1000011001001111…
…0011110111000100
312211001001112111202
42012103303313010
514103323340400
61011332522032
7106561034444
oct20623636704
95731045452
102253340100
11a56a51850
1252a780318
1329bab914b
141753a4124
15d2c564d5
hex864f3dc4

2253340100 has 72 divisors (see below), whose sum is σ = 5348095200. Its totient is φ = 817273600.

The previous prime is 2253340091. The next prime is 2253340127. The reversal of 2253340100 is 10433522.

It is a happy number.

2253340100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 458456 + ... + 463344.

It is an arithmetic number, because the mean of its divisors is an integer number (74279100).

Almost surely, 22253340100 is an apocalyptic number.

2253340100 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 2253340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674047600).

2253340100 is an abundant number, since it is smaller than the sum of its proper divisors (3094755100).

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

2253340100 is a wasteful number, since it uses less digits than its factorization.

2253340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333 (or 5326 counting only the distinct ones).

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

The square root of 2253340100 is about 47469.3595912142. The cubic root of 2253340100 is about 1311.0187867629.

Adding to 2253340100 its reverse (10433522), we get a palindrome (2263773622).

The spelling of 2253340100 in words is "two billion, two hundred fifty-three million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 419 550 838 1100 1676 2095 4190 4609 4889 8380 9218 9778 10475 18436 19556 20950 23045 24445 41900 46090 48890 53779 92180 97780 107558 115225 122225 215116 230450 244450 268895 460900 488900 537790 1075580 1344475 2048491 2688950 4096982 5377900 8193964 10242455 20484910 22533401 40969820 45066802 51212275 90133604 102424550 112667005 204849100 225334010 450668020 563335025 1126670050 2253340100