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2225700 = 2232522473
BaseRepresentation
bin1000011111011000100100
311012002002100
420133120210
51032210300
6115412100
724626631
oct10373044
94162070
102225700
111290224
128b4030
135cc0a9
1441d188
152de700
hex21f624

2225700 has 54 divisors (see below), whose sum is σ = 6979154. Its totient is φ = 593280.

The previous prime is 2225689. The next prime is 2225701. The reversal of 2225700 is 75222.

2225700 = T159 + T160 + ... + T258.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 304704 + 1920996 = 552^2 + 1386^2 .

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 (2225701) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 337 + ... + 2136.

22225700 is an apocalyptic number.

2225700 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 2225700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489577).

2225700 is an abundant number, since it is smaller than the sum of its proper divisors (4753454).

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

2225700 is a wasteful number, since it uses less digits than its factorization.

2225700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2225700 is about 1491.8780110988. The cubic root of 2225700 is about 130.5636277557.

The spelling of 2225700 in words is "two million, two hundred twenty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2473 4946 7419 9892 12365 14838 22257 24730 29676 37095 44514 49460 61825 74190 89028 111285 123650 148380 185475 222570 247300 370950 445140 556425 741900 1112850 2225700