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1225400 = 235211557
BaseRepresentation
bin100101011001010111000
32022020221012
410223022320
5303203100
642133052
713262411
oct4531270
92266835
101225400
11767730
124b1188
1333b9b7
1423c808
15193135
hex12b2b8

1225400 has 48 divisors (see below), whose sum is σ = 3113640. Its totient is φ = 444800.

The previous prime is 1225397. The next prime is 1225409. The reversal of 1225400 is 45221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225409) 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, 1922 + ... + 2478.

21225400 is an apocalyptic number.

1225400 is a gapful number since it is divisible by the number (10) 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 1225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556820).

1225400 is an abundant number, since it is smaller than the sum of its proper divisors (1888240).

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

1225400 is a wasteful number, since it uses less digits than its factorization.

1225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1225400 is about 1106.9778678908. The cubic root of 1225400 is about 107.0103929114.

It can be divided in two parts, 1225 and 400, that multiplied together give a square (490000 = 7002).

The spelling of 1225400 in words is "one million, two hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 557 1100 1114 2200 2228 2785 4456 5570 6127 11140 12254 13925 22280 24508 27850 30635 49016 55700 61270 111400 122540 153175 245080 306350 612700 1225400