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2276100 = 223452281
BaseRepresentation
bin1000101011101100000100
311021122020000
420223230010
51040313400
6120441300
725226601
oct10535404
94248200
102276100
111315082
12919230
13619008
144336a8
152ee600
hex22bb04

2276100 has 90 divisors (see below), whose sum is σ = 7404474. Its totient is φ = 604800.

The previous prime is 2276089. The next prime is 2276101. The reversal of 2276100 is 16722.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 2022084 = 504^2 + 1422^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2276101) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7960 + ... + 8240.

22276100 is an apocalyptic number.

2276100 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 2276100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702237).

2276100 is an abundant number, since it is smaller than the sum of its proper divisors (5128374).

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

2276100 is a wasteful number, since it uses less digits than its factorization.

2276100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2276100 is about 1508.6749152816. The cubic root of 2276100 is about 131.5417997590.

The spelling of 2276100 in words is "two million, two hundred seventy-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 281 300 324 405 450 540 562 675 810 843 900 1124 1350 1405 1620 1686 2025 2529 2700 2810 3372 4050 4215 5058 5620 7025 7587 8100 8430 10116 12645 14050 15174 16860 21075 22761 25290 28100 30348 37935 42150 45522 50580 63225 75870 84300 91044 113805 126450 151740 189675 227610 252900 379350 455220 569025 758700 1138050 2276100