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2225400 = 233523709
BaseRepresentation
bin1000011111010011111000
311012001200020
420133103320
51032203100
6115410440
724626022
oct10372370
94161606
102225400
11128aa81
128b3a20
135cbc08
1441d012
152de5a0
hex21f4f8

2225400 has 48 divisors (see below), whose sum is σ = 6900600. Its totient is φ = 593280.

The previous prime is 2225393. The next prime is 2225401. The reversal of 2225400 is 45222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2225400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255 + ... + 2454.

22225400 is an apocalyptic number.

2225400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225400 is an abundant number, since it is smaller than the sum of its proper divisors (4675200).

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

2225400 is a wasteful number, since it uses less digits than its factorization.

2225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2225400 is about 1491.7774632967. Note that the first 3 decimals coincide. The cubic root of 2225400 is about 130.5577613094.

The spelling of 2225400 in words is "two million, two hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3709 7418 11127 14836 18545 22254 29672 37090 44508 55635 74180 89016 92725 111270 148360 185450 222540 278175 370900 445080 556350 741800 1112700 2225400