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2254460 = 2251322329
BaseRepresentation
bin1000100110011001111100
311020112112112
420212121330
51034120320
6120153152
725106525
oct10463174
94215475
102254460
1112aa89a
129087b8
1360c200
1442984c
152e7ec5
hex22667c

2254460 has 72 divisors (see below), whose sum is σ = 5533920. Its totient is φ = 768768.

The previous prime is 2254457. The next prime is 2254477. The reversal of 2254460 is 644522.

2254460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77726 + ... + 77754.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

22254460 is an apocalyptic number.

2254460 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 2254460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766960).

2254460 is an abundant number, since it is smaller than the sum of its proper divisors (3279460).

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

2254460 is a wasteful number, since it uses less digits than its factorization.

2254460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2254460 is about 1501.4859306700. The cubic root of 2254460 is about 131.1235940959.

Adding to 2254460 its reverse (644522), we get a palindrome (2898982).

The spelling of 2254460 in words is "two million, two hundred fifty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 29 46 52 58 65 92 115 116 130 145 169 230 260 290 299 338 377 460 580 598 667 676 754 845 1196 1334 1495 1508 1690 1885 2668 2990 3335 3380 3770 3887 4901 5980 6670 7540 7774 8671 9802 13340 15548 17342 19435 19604 24505 34684 38870 43355 49010 77740 86710 98020 112723 173420 225446 450892 563615 1127230 2254460