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2200521125 = 53112731993
BaseRepresentation
bin1000001100101001…
…0100100110100101
312200100200001111102
42003022110212211
514001313134000
61002204445445
7105350056325
oct20312244645
95610601442
102200521125
11a2a156100
12514b49885
13290b8490a
1416c375285
15cd2c13d5
hex832949a5

2200521125 has 48 divisors (see below), whose sum is σ = 3061491888. Its totient is φ = 1577664000.

The previous prime is 2200521121. The next prime is 2200521139. The reversal of 2200521125 is 5211250022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 418161601 + 1782359524 = 20449^2 + 42218^2 .

It is not a de Polignac number, because 2200521125 - 22 = 2200521121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2200521097 and 2200521106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200521121) 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 47 ways as a sum of consecutive naturals, for example, 1103129 + ... + 1105121.

It is an arithmetic number, because the mean of its divisors is an integer number (63781081).

Almost surely, 22200521125 is an apocalyptic number.

2200521125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2200521125 is a deficient number, since it is larger than the sum of its proper divisors (860970763).

2200521125 is a wasteful number, since it uses less digits than its factorization.

2200521125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2200521125 is about 46909.7124804661. The cubic root of 2200521125 is about 1300.6941312770.

Adding to 2200521125 its reverse (5211250022), we get a palindrome (7411771147).

It can be divided in two parts, 2200 and 521125, that added together give a palindrome (523325).

The spelling of 2200521125 in words is "two billion, two hundred million, five hundred twenty-one thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 73 121 125 275 365 605 803 1375 1825 1993 3025 4015 8833 9125 9965 15125 20075 21923 44165 49825 100375 109615 145489 220825 241153 249125 548075 727445 1104125 1205765 1600379 2740375 3637225 6028825 8001895 17604169 18186125 30144125 40009475 88020845 200047375 440104225 2200521125