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2254540 = 2251719349
BaseRepresentation
bin1000100110011011001100
311020112122111
420212123030
51034121130
6120153404
725110001
oct10463314
94215574
102254540
1112aa962
12908864
1360c262
144298a8
152e802a
hex2266cc

2254540 has 48 divisors (see below), whose sum is σ = 5292000. Its totient is φ = 801792.

The previous prime is 2254531. The next prime is 2254541. The reversal of 2254540 is 454522.

It is a super-2 number, since 2×22545402 = 10165901223200, which contains 22 as substring.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254541) 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, 6286 + ... + 6634.

It is an arithmetic number, because the mean of its divisors is an integer number (110250).

22254540 is an apocalyptic number.

2254540 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 2254540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646000).

2254540 is an abundant number, since it is smaller than the sum of its proper divisors (3037460).

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

2254540 is a wasteful number, since it uses less digits than its factorization.

2254540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2254540 is about 1501.5125707099. The cubic root of 2254540 is about 131.1251450606.

The spelling of 2254540 in words is "two million, two hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 349 380 646 698 1292 1396 1615 1745 3230 3490 5933 6460 6631 6980 11866 13262 23732 26524 29665 33155 59330 66310 112727 118660 132620 225454 450908 563635 1127270 2254540