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2254305504 = 253112194069
BaseRepresentation
bin1000011001011101…
…1111100011100000
312211002212120210110
42012113133203200
514104100234004
61011405331320
7106602165153
oct20627374340
95732776713
102254305504
11a57551100
1252ab66b40
1329c0666a9
14175575c9a
15d2d97589
hex865df8e0

2254305504 has 72 divisors (see below), whose sum is σ = 6504450120. Its totient is φ = 683119360.

The previous prime is 2254305491. The next prime is 2254305539. The reversal of 2254305504 is 4055034522.

2254305504 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85419 + ... + 108650.

It is an arithmetic number, because the mean of its divisors is an integer number (90339585).

Almost surely, 22254305504 is an apocalyptic number.

2254305504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2254305504 is an abundant number, since it is smaller than the sum of its proper divisors (4250144616).

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

2254305504 is a wasteful number, since it uses less digits than its factorization.

2254305504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194104 (or 194085 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2254305504 is about 47479.5272091035. The cubic root of 2254305504 is about 1311.2059876909.

The spelling of 2254305504 in words is "two billion, two hundred fifty-four million, three hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 194069 388138 582207 776276 1164414 1552552 2134759 2328828 3105104 4269518 4657656 6210208 6404277 8539036 9315312 12808554 17078072 18630624 23482349 25617108 34156144 46964698 51234216 68312288 70447047 93929396 102468432 140894094 187858792 204936864 281788188 375717584 563576376 751435168 1127152752 2254305504