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2258182480 = 24528227281
BaseRepresentation
bin1000011010011001…
…0010000101010000
312211101011120000011
42012212102011100
514111043314410
61012024404304
7106650143251
oct20646220520
95741146004
102258182480
11a59759a14
12530316694
1329cac3268
14175ca4b28
15d33b118a
hex86992150

2258182480 has 20 divisors (see below), whose sum is σ = 5250274452. Its totient is φ = 903272960.

The previous prime is 2258182457. The next prime is 2258182489. The reversal of 2258182480 is 842818522.

It can be written as a sum of positive squares in 2 ways, for example, as 977687824 + 1280494656 = 31268^2 + 35784^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×22581824802 = 10198776225957900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258182489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14113561 + ... + 14113720.

Almost surely, 22258182480 is an apocalyptic number.

2258182480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2258182480 is an abundant number, since it is smaller than the sum of its proper divisors (2992091972).

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

2258182480 is a wasteful number, since it uses less digits than its factorization.

2258182480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28227294 (or 28227288 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 2258182480 is about 47520.3375408887. The cubic root of 2258182480 is about 1311.9572320235.

The spelling of 2258182480 in words is "two billion, two hundred fifty-eight million, one hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28227281 56454562 112909124 141136405 225818248 282272810 451636496 564545620 1129091240 2258182480