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275228100 = 22325272792
BaseRepresentation
bin10000011001111…
…010010111000100
3201011220000222100
4100121322113010
51030424244400
643151032100
76551254200
oct2031722704
9634800870
10275228100
111313a4a44
127820b630
1345036684
14287a5b00
1519269100
hex1067a5c4

275228100 has 243 divisors, whose sum is σ = 1016397837. Its totient is φ = 62112960.

The previous prime is 275228071. The next prime is 275228101. The reversal of 275228100 is 1822572.

The square root of 275228100 is 16590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 99082116 + 176145984 = 9954^2 + 13272^2 .

It is a super-2 number, since 2×2752281002 = 151501014059220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (275228101) 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 80 ways as a sum of consecutive naturals, for example, 3483861 + ... + 3483939.

Almost surely, 2275228100 is an apocalyptic number.

275228100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

275228100 is the 16590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275228100

275228100 is an abundant number, since it is smaller than the sum of its proper divisors (741169737).

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

275228100 is a wasteful number, since it uses less digits than its factorization.

275228100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The cubic root of 275228100 is about 650.4754706520.

The spelling of 275228100 in words is "two hundred seventy-five million, two hundred twenty-eight thousand, one hundred".