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2205423520 = 25519172167
BaseRepresentation
bin1000001101110100…
…0001011110100000
312200200220010022121
42003131001132200
514004042023040
61002501514024
7105436535116
oct20335013640
95620803277
102205423520
11a319a4373
12516712914
13291bb0141
1416cc8dab6
15cd93dc4a
hex837417a0

2205423520 has 48 divisors (see below), whose sum is σ = 5237664768. Its totient is φ = 877538560.

The previous prime is 2205423509. The next prime is 2205423529. The reversal of 2205423520 is 253245022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2205423529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5524 + ... + 66643.

It is an arithmetic number, because the mean of its divisors is an integer number (109118016).

Almost surely, 22205423520 is an apocalyptic number.

2205423520 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 2205423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618832384).

2205423520 is an abundant number, since it is smaller than the sum of its proper divisors (3032241248).

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

2205423520 is a wasteful number, since it uses less digits than its factorization.

2205423520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72373 (or 72365 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2205423520 is about 46961.9369276864. The cubic root of 2205423520 is about 1301.6593249173.

Adding to 2205423520 its reverse (253245022), we get a palindrome (2458668542).

The spelling of 2205423520 in words is "two billion, two hundred five million, four hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1528 1910 3056 3820 6112 7640 15280 30560 72167 144334 288668 360835 577336 721670 1154672 1443340 2309344 2886680 5773360 11546720 13783897 27567794 55135588 68919485 110271176 137838970 220542352 275677940 441084704 551355880 1102711760 2205423520