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2254256000 = 2753140891
BaseRepresentation
bin1000011001011101…
…0011011110000000
312211002210001212222
42012113103132000
514104042143000
61011404310212
7106601600633
oct20627233600
95732701788
102254256000
11a57517997
1252ab42368
1329c049cb9
14175561c1a
15d2d87a85
hex865d3780

2254256000 has 64 divisors (see below), whose sum is σ = 5604683760. Its totient is φ = 901696000.

The previous prime is 2254255999. The next prime is 2254256003. The reversal of 2254256000 is 6524522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×22542560002 = 10163340227072000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254256003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54446 + ... + 86445.

Almost surely, 22254256000 is an apocalyptic number.

2254256000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254256000 is an abundant number, since it is smaller than the sum of its proper divisors (3350427760).

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

2254256000 is an equidigital number, since it uses as much as digits as its factorization.

2254256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140920 (or 140898 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2254256000 is about 47479.0058868128. The cubic root of 2254256000 is about 1311.1963896993.

The spelling of 2254256000 in words is "two billion, two hundred fifty-four million, two hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 140891 281782 563564 704455 1127128 1408910 2254256 2817820 3522275 4508512 5635640 7044550 9017024 11271280 14089100 17611375 18034048 22542560 28178200 35222750 45085120 56356400 70445500 90170240 112712800 140891000 225425600 281782000 450851200 563564000 1127128000 2254256000