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2256455780 = 225294578513
BaseRepresentation
bin1000011001111110…
…1100100001100100
312211020220211102022
42012133230201210
514110123041110
61011523402312
7106626362165
oct20637544144
95736824368
102256455780
11a5878a697
1252b823398
1329c63a347
1417597576c
15d316e755
hex867ec864

2256455780 has 48 divisors (see below), whose sum is σ = 4913259120. Its totient is φ = 869449728.

The previous prime is 2256455771. The next prime is 2256455801. The reversal of 2256455780 is 875546522.

It can be written as a sum of positive squares in 8 ways, for example, as 449185636 + 1807270144 = 21194^2 + 42512^2 .

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, 260804 + ... + 269316.

It is an arithmetic number, because the mean of its divisors is an integer number (102359565).

Almost surely, 22256455780 is an apocalyptic number.

2256455780 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 2256455780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456629560).

2256455780 is an abundant number, since it is smaller than the sum of its proper divisors (2656803340).

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

2256455780 is a wasteful number, since it uses less digits than its factorization.

2256455780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008 (or 9006 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 44.

The square root of 2256455780 is about 47502.1660558758. The cubic root of 2256455780 is about 1311.6227544494.

The spelling of 2256455780 in words is "two billion, two hundred fifty-six million, four hundred fifty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 457 580 914 1828 2285 4570 8513 9140 13253 17026 26506 34052 42565 53012 66265 85130 132530 170260 246877 265060 493754 987508 1234385 2468770 3890441 4937540 7780882 15561764 19452205 38904410 77808820 112822789 225645578 451291156 564113945 1128227890 2256455780