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2244224192 = 26743911411
BaseRepresentation
bin1000010111000100…
…0010010011000000
312210101220101211112
42011301002103000
514044010133232
61010405302452
7106420406450
oct20561022300
95711811745
102244224192
11a51895941
12527704a28
13299c46b12
141740add60
15d20554b2
hex85c424c0

2244224192 has 56 divisors (see below), whose sum is σ = 5101620480. Its totient is φ = 959535360.

The previous prime is 2244224173. The next prime is 2244224207. The reversal of 2244224192 is 2914224422.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190967 + ... + 202377.

Almost surely, 22244224192 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 2244224192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550810240).

2244224192 is an abundant number, since it is smaller than the sum of its proper divisors (2857396288).

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

2244224192 is a wasteful number, since it uses less digits than its factorization.

2244224192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11869 (or 11859 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 2244224192 is about 47373.2434186219. The cubic root of 2244224192 is about 1309.2484845205.

The spelling of 2244224192 in words is "two billion, two hundred forty-four million, two hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 439 448 878 1756 3073 3512 6146 7024 11411 12292 14048 22822 24584 28096 45644 49168 79877 91288 98336 159754 182576 196672 319508 365152 639016 730304 1278032 2556064 5009429 5112128 10018858 20037716 35066003 40075432 70132006 80150864 140264012 160301728 280528024 320603456 561056048 1122112096 2244224192