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2226625016 = 2371125114401
BaseRepresentation
bin1000010010110111…
…1001100111111000
312202011210021022012
42010231321213320
514030004000031
61004540145052
7106115000060
oct20455714770
95664707265
102226625016
11a42965370
12521838188
132963c43c5
14171a0c3a0
15d072ab2b
hex84b799f8

2226625016 has 64 divisors (see below), whose sum is σ = 5226197760. Its totient is φ = 864000000.

The previous prime is 2226625001. The next prime is 2226625019. The reversal of 2226625016 is 6105266222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226625019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147416 + ... + 161816.

It is an arithmetic number, because the mean of its divisors is an integer number (81659340).

Almost surely, 22226625016 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 2226625016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613098880).

2226625016 is an abundant number, since it is smaller than the sum of its proper divisors (2999572744).

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

2226625016 is a wasteful number, since it uses less digits than its factorization.

2226625016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14676 (or 14672 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2226625016 is about 47187.1276515111. The cubic root of 2226625016 is about 1305.8171295990.

The spelling of 2226625016 in words is "two billion, two hundred twenty-six million, six hundred twenty-five thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 251 308 502 616 1004 1757 2008 2761 3514 5522 7028 11044 14056 14401 19327 22088 28802 38654 57604 77308 100807 115208 154616 158411 201614 316822 403228 633644 806456 1108877 1267288 2217754 3614651 4435508 7229302 8871016 14458604 25302557 28917208 39761161 50605114 79522322 101210228 159044644 202420456 278328127 318089288 556656254 1113312508 2226625016