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2255284240 = 2451114231801
BaseRepresentation
bin1000011001101100…
…1110100000010000
312211011201022100221
42012123032200100
514104323043430
61011442322424
7106613412466
oct20633164020
95734638327
102255284240
11a5805a480
1252b359414
1329c31a021
1417574c836
15d2edc57a
hex866ce810

2255284240 has 80 divisors (see below), whose sum is σ = 5727419136. Its totient is φ = 819072000.

The previous prime is 2255284223. The next prime is 2255284259. The reversal of 2255284240 is 424825522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2255284196 and 2255284205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251340 + ... + 1253140.

Almost surely, 22255284240 is an apocalyptic number.

2255284240 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 2255284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863709568).

2255284240 is an abundant number, since it is smaller than the sum of its proper divisors (3472134896).

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

2255284240 is a wasteful number, since it uses less digits than its factorization.

2255284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The square root of 2255284240 is about 47489.8330171838. The cubic root of 2255284240 is about 1311.3957192693.

The spelling of 2255284240 in words is "two billion, two hundred fifty-five million, two hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1423 1801 2846 3602 5692 7115 7204 9005 11384 14230 14408 15653 18010 19811 22768 28460 28816 31306 36020 39622 56920 62612 72040 78265 79244 99055 113840 125224 144080 156530 158488 198110 250448 313060 316976 396220 626120 792440 1252240 1584880 2562823 5125646 10251292 12814115 20502584 25628230 28191053 41005168 51256460 56382106 102512920 112764212 140955265 205025840 225528424 281910530 451056848 563821060 1127642120 2255284240