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2273406048 = 253329412213
BaseRepresentation
bin1000011110000001…
…0110110001100000
312212102210222211000
42013200112301200
514123442443143
61013330552000
7110223426654
oct20740266140
95772728730
102273406048
11a67307681
12535438600
132a2cc35a4
14177d08a64
15d48bbbd3
hex87816c60

2273406048 has 192 divisors, whose sum is σ = 7029892800. Its totient is φ = 713502720.

The previous prime is 2273406017. The next prime is 2273406061. The reversal of 2273406048 is 8406043722.

2273406048 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 40 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026190 + ... + 1028402.

It is an arithmetic number, because the mean of its divisors is an integer number (36614025).

Almost surely, 22273406048 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 2273406048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514946400).

2273406048 is an abundant number, since it is smaller than the sum of its proper divisors (4756486752).

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

2273406048 is a wasteful number, since it uses less digits than its factorization.

2273406048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2273406048 is about 47680.2479859323. The cubic root of 2273406048 is about 1314.8988241588.

It can be divided in two parts, 2273 and 406048, that added together give a square (408321 = 6392).

The spelling of 2273406048 in words is "two billion, two hundred seventy-three million, four hundred six thousand, forty-eight".