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2205023440 = 245131210403
BaseRepresentation
bin1000001101101101…
…1111110011010000
312200200010210111211
42003123133303100
514003441222230
61002445145504
7105433250524
oct20333376320
95620123454
102205023440
11a31750824
1251655b294
13291a9ccc9
1416cbc7d84
15cd8b042a
hex836dfcd0

2205023440 has 40 divisors (see below), whose sum is σ = 5165839008. Its totient is φ = 875272320.

The previous prime is 2205023423. The next prime is 2205023449. The reversal of 2205023440 is 443205022.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205023449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94722 + ... + 115681.

Almost surely, 22205023440 is an apocalyptic number.

2205023440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205023440 is an abundant number, since it is smaller than the sum of its proper divisors (2960815568).

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

2205023440 is a wasteful number, since it uses less digits than its factorization.

2205023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210547 (or 210541 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2205023440 is about 46957.6771146103. The cubic root of 2205023440 is about 1301.5806099748.

Adding to 2205023440 its reverse (443205022), we get a palindrome (2648228462).

The spelling of 2205023440 in words is "two billion, two hundred five million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 210403 420806 841612 1052015 1683224 2104030 3366448 4208060 8416120 16832240 27562793 55125586 110251172 137813965 220502344 275627930 441004688 551255860 1102511720 2205023440