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2226255216 = 243833531583
BaseRepresentation
bin1000010010110001…
…1111010101110000
312202011002111000220
42010230133111300
514024410131331
61004524213040
7106111566663
oct20454372560
95664074026
102226255216
11a42732549
1252169a180
132962c4ca3
141719536da
15d06a6296
hex84b1f570

2226255216 has 80 divisors (see below), whose sum is σ = 5840626176. Its totient is φ = 730605568.

The previous prime is 2226255191. The next prime is 2226255217. The reversal of 2226255216 is 6125526222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226255217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1405561 + ... + 1407143.

Almost surely, 22226255216 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 2226255216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920313088).

2226255216 is an abundant number, since it is smaller than the sum of its proper divisors (3614370960).

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

2226255216 is a wasteful number, since it uses less digits than its factorization.

2226255216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2024 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 2226255216 is about 47183.2090472872. The cubic root of 2226255216 is about 1305.7448351464.

The spelling of 2226255216 in words is "two billion, two hundred twenty-six million, two hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 353 498 664 706 996 1059 1328 1412 1583 1992 2118 2824 3166 3984 4236 4749 5648 6332 8472 9498 12664 16944 18996 25328 29299 37992 58598 75984 87897 117196 131389 175794 234392 262778 351588 394167 468784 525556 558799 703176 788334 1051112 1117598 1406352 1576668 1676397 2102224 2235196 3153336 3352794 4470392 6306672 6705588 8940784 13411176 26822352 46380317 92760634 139140951 185521268 278281902 371042536 556563804 742085072 1113127608 2226255216