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2257469340 = 223575374927
BaseRepresentation
bin1000011010001110…
…0011111110011100
312211022211022202120
42012203203332130
514110403004330
61012001222540
7106641113160
oct20643437634
95738738676
102257469340
11a59312145
12530031a50
1329c903799
14175b5aca0
15d32bec10
hex868e3f9c

2257469340 has 48 divisors (see below), whose sum is σ = 7223903232. Its totient is φ = 515992896.

The previous prime is 2257469327. The next prime is 2257469381. The reversal of 2257469340 is 439647522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2257469292 and 2257469301.

It is a congruent number.

It is an unprimeable number.

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, 2687044 + ... + 2687883.

It is an arithmetic number, because the mean of its divisors is an integer number (150497984).

Almost surely, 22257469340 is an apocalyptic number.

2257469340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257469340 is an abundant number, since it is smaller than the sum of its proper divisors (4966433892).

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

2257469340 is a wasteful number, since it uses less digits than its factorization.

2257469340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374946 (or 5374944 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 2257469340 is about 47512.8334242444. The cubic root of 2257469340 is about 1311.8191109615.

The spelling of 2257469340 in words is "two billion, two hundred fifty-seven million, four hundred sixty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 5374927 10749854 16124781 21499708 26874635 32249562 37624489 53749270 64499124 75248978 80623905 107498540 112873467 150497956 161247810 188122445 225746934 322495620 376244890 451493868 564367335 752489780 1128734670 2257469340