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2196446912 = 26117143943
BaseRepresentation
bin1000001011101011…
…0001111011000000
312200002000001201122
42002322301323000
513444242300122
61001541251412
7105300330212
oct20272617300
95602001648
102196446912
11a27923090
12513703b68
1329008933a
1416b9d45b2
15ccc69142
hex82eb1ec0

2196446912 has 56 divisors (see below), whose sum is σ = 4821887232. Its totient is φ = 984300800.

The previous prime is 2196446891. The next prime is 2196446927.

2196446912 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 28013 + ... + 71955.

Almost surely, 22196446912 is an apocalyptic number.

2196446912 is a gapful number since it is divisible by the number (22) 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 2196446912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410943616).

2196446912 is an abundant number, since it is smaller than the sum of its proper divisors (2625440320).

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

2196446912 is a wasteful number, since it uses less digits than its factorization.

2196446912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44037 (or 44027 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 2196446912 is about 46866.2662476968. The cubic root of 2196446912 is about 1299.8909005090.

The spelling of 2196446912 in words is "two billion, one hundred ninety-six million, four hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 142 176 284 352 568 704 781 1136 1562 2272 3124 4544 6248 12496 24992 43943 49984 87886 175772 351544 483373 703088 966746 1406176 1933492 2812352 3119953 3866984 6239906 7733968 12479812 15467936 24959624 30935872 34319483 49919248 68638966 99838496 137277932 199676992 274555864 549111728 1098223456 2196446912