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2226574720 = 27522315601
BaseRepresentation
bin1000010010110110…
…1101010110000000
312202011200201022101
42010231231112000
514030000342340
61004535120144
7106114400326
oct20455552600
95664621271
102226574720
11a429305a7
12521813054
132963a7546
141719d7d16
15d071ac9a
hex84b6d580

2226574720 has 64 divisors (see below), whose sum is σ = 5347117440. Its totient is φ = 886579200.

The previous prime is 2226574667. The next prime is 2226574723. The reversal of 2226574720 is 274756222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2226574720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226574723) 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, 134920 + ... + 150520.

It is an arithmetic number, because the mean of its divisors is an integer number (83548710).

Almost surely, 22226574720 is an apocalyptic number.

2226574720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673558720).

2226574720 is an abundant number, since it is smaller than the sum of its proper divisors (3120542720).

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

2226574720 is a wasteful number, since it uses less digits than its factorization.

2226574720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15843 (or 15831 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 2226574720 is about 47186.5947065477. The cubic root of 2226574720 is about 1305.8072973982.

The spelling of 2226574720 in words is "two billion, two hundred twenty-six million, five hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 223 320 446 640 892 1115 1784 2230 3568 4460 7136 8920 14272 15601 17840 28544 31202 35680 62404 71360 78005 124808 142720 156010 249616 312020 499232 624040 998464 1248080 1996928 2496160 3479023 4992320 6958046 9984640 13916092 17395115 27832184 34790230 55664368 69580460 111328736 139160920 222657472 278321840 445314944 556643680 1113287360 2226574720