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2205320500 = 2253192310093
BaseRepresentation
bin1000001101110010…
…1000010100110100
312200200200220000001
42003130220110310
514004030224000
61002455401044
7105435625555
oct20334502464
95620626001
102205320500
11a31933a29
12516683184
13291b75296
1416cc6432c
15cd91d46a
hex83728534

2205320500 has 96 divisors (see below), whose sum is σ = 5290871040. Its totient is φ = 799286400.

The previous prime is 2205320479. The next prime is 2205320521. The reversal of 2205320500 is 50235022.

It is an interprime number because it is at equal distance from previous prime (2205320479) and next prime (2205320521).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 213454 + ... + 223546.

It is an arithmetic number, because the mean of its divisors is an integer number (55113240).

Almost surely, 22205320500 is an apocalyptic number.

2205320500 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 2205320500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645435520).

2205320500 is an abundant number, since it is smaller than the sum of its proper divisors (3085550540).

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

2205320500 is a wasteful number, since it uses less digits than its factorization.

2205320500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10154 (or 10142 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 2205320500 is about 46960.8400691470. The cubic root of 2205320500 is about 1301.6390568477.

Adding to 2205320500 its reverse (50235022), we get a palindrome (2255555522).

The spelling of 2205320500 in words is "two billion, two hundred five million, three hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 125 190 230 250 380 437 460 475 500 575 874 950 1150 1748 1900 2185 2300 2375 2875 4370 4750 5750 8740 9500 10093 10925 11500 20186 21850 40372 43700 50465 54625 100930 109250 191767 201860 218500 232139 252325 383534 464278 504650 767068 928556 958835 1009300 1160695 1261625 1917670 2321390 2523250 3835340 4410641 4642780 4794175 5046500 5803475 8821282 9588350 11606950 17642564 19176700 22053205 23213900 23970875 29017375 44106410 47941750 58034750 88212820 95883500 110266025 116069500 220532050 441064100 551330125 1102660250 2205320500