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2226482752 = 26137137691
BaseRepresentation
bin1000010010110101…
…0110111001000000
312202011112001011011
42010231112321000
514024434422002
61004533130304
7106113535234
oct20455267100
95664461134
102226482752
11a4287849a
12521789994
13296374720
141719b25c4
15d06ed8d7
hex84b56e40

2226482752 has 56 divisors (see below), whose sum is σ = 4825179072. Its totient is φ = 1013107200.

The previous prime is 2226482693. The next prime is 2226482759. The reversal of 2226482752 is 2572846222.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2226482759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40227 + ... + 77917.

It is an arithmetic number, because the mean of its divisors is an integer number (86163912).

Almost surely, 22226482752 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 2226482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412589536).

2226482752 is an abundant number, since it is smaller than the sum of its proper divisors (2598696320).

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

2226482752 is a wasteful number, since it uses less digits than its factorization.

2226482752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37787 (or 37777 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The square root of 2226482752 is about 47185.6201824242. The cubic root of 2226482752 is about 1305.7893184912.

The spelling of 2226482752 in words is "two billion, two hundred twenty-six million, four hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 142 208 284 416 568 832 923 1136 1846 2272 3692 4544 7384 14768 29536 37691 59072 75382 150764 301528 489983 603056 979966 1206112 1959932 2412224 2676061 3919864 5352122 7839728 10704244 15679456 21408488 31358912 34788793 42816976 69577586 85633952 139155172 171267904 278310344 556620688 1113241376 2226482752