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2254780 = 2251137277
BaseRepresentation
bin1000100110011110111100
311020112222101
420212132330
51034123110
6120154444
725110463
oct10463674
94215871
102254780
111300060
12908a24
1360c3b8
144299da
152e813a
hex2267bc

2254780 has 48 divisors (see below), whose sum is σ = 5324256. Its totient is φ = 794880.

The previous prime is 2254771. The next prime is 2254781. The reversal of 2254780 is 874522.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8002 + ... + 8278.

It is an arithmetic number, because the mean of its divisors is an integer number (110922).

22254780 is an apocalyptic number.

2254780 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 2254780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662128).

2254780 is an abundant number, since it is smaller than the sum of its proper divisors (3069476).

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

2254780 is a wasteful number, since it uses less digits than its factorization.

2254780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2254780 is about 1501.5924879940. The cubic root of 2254780 is about 131.1297977345.

It can be divided in two parts, 225 and 4780, that added together give a palindrome (5005).

The spelling of 2254780 in words is "two million, two hundred fifty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 277 370 407 554 740 814 1108 1385 1628 2035 2770 3047 4070 5540 6094 8140 10249 12188 15235 20498 30470 40996 51245 60940 102490 112739 204980 225478 450956 563695 1127390 2254780