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2273888448 = 2632131717863
BaseRepresentation
bin1000011110001000…
…1100100011000000
312212110201111112200
42013202030203000
514124103412243
61013345153200
7110230506246
oct20742144300
95773644480
102273888448
11a67607057
1253562b800
132a3132030
14177dd2796
15d4964ad3
hex8788c8c0

2273888448 has 168 divisors, whose sum is σ = 7432352928. Its totient is φ = 658464768.

The previous prime is 2273888443. The next prime is 2273888483. The reversal of 2273888448 is 8448883722.

It is a junction number, because it is equal to n+sod(n) for n = 2273888394 and 2273888403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273888443) 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 23 ways as a sum of consecutive naturals, for example, 118365 + ... + 136227.

It is an arithmetic number, because the mean of its divisors is an integer number (44240196).

Almost surely, 22273888448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273888448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716176464).

2273888448 is an abundant number, since it is smaller than the sum of its proper divisors (5158464480).

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

2273888448 is a wasteful number, since it uses less digits than its factorization.

2273888448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17911 (or 17898 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The square root of 2273888448 is about 47685.3064161278. The cubic root of 2273888448 is about 1314.9918215262.

The spelling of 2273888448 in words is "two billion, two hundred seventy-three million, eight hundred eighty-eight thousand, four hundred forty-eight".