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2254028460 = 223593740093
BaseRepresentation
bin1000011001011001…
…1011111010101100
312211002100111202120
42012112123322230
514104012402320
61011355352540
7106566632355
oct20626337254
95732314676
102254028460
11a57381a42
1252aa52750
1329bc9a568
14175502d2c
15d2d40440
hex8659beac

2254028460 has 48 divisors (see below), whose sum is σ = 6318172896. Its totient is φ = 600417792.

The previous prime is 2254028459. The next prime is 2254028461. The reversal of 2254028460 is 648204522.

It is an interprime number because it is at equal distance from previous prime (2254028459) and next prime (2254028461).

It is not an unprimeable number, because it can be changed into a prime (2254028461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36174 + ... + 76266.

It is an arithmetic number, because the mean of its divisors is an integer number (131628602).

Almost surely, 22254028460 is an apocalyptic number.

2254028460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254028460 is an abundant number, since it is smaller than the sum of its proper divisors (4064144436).

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

2254028460 is a wasteful number, since it uses less digits than its factorization.

2254028460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41042 (or 41040 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2254028460 is about 47476.6096093645. The cubic root of 2254028460 is about 1311.1522717190.

The spelling of 2254028460 in words is "two billion, two hundred fifty-four million, twenty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 937 1874 2811 3748 4685 5622 9370 11244 14055 18740 28110 40093 56220 80186 120279 160372 200465 240558 400930 481116 601395 801860 1202790 2405580 37567141 75134282 112701423 150268564 187835705 225402846 375671410 450805692 563507115 751342820 1127014230 2254028460