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2197208448 = 27323675197
BaseRepresentation
bin1000001011110110…
…1011110110000000
312200010102202100200
42002331223312000
513444441132243
61002005445200
7105306651351
oct20275536600
95603382320
102197208448
11a282a3256
12513a10800
13290294b56
1416bb51d28
15ccd69ad3
hex82f6bd80

2197208448 has 96 divisors (see below), whose sum is σ = 6341144160. Its totient is φ = 730266624.

The previous prime is 2197208441. The next prime is 2197208449. The reversal of 2197208448 is 8448027912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2197208441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420186 + ... + 425382.

It is an arithmetic number, because the mean of its divisors is an integer number (66053585).

Almost surely, 22197208448 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 2197208448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170572080).

2197208448 is an abundant number, since it is smaller than the sum of its proper divisors (4143935712).

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

2197208448 is a wasteful number, since it uses less digits than its factorization.

2197208448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2197208448 is about 46874.3901080323. The cubic root of 2197208448 is about 1300.0411127037.

It can be divided in two parts, 2197208 and 448, that added together give a triangular number (2197656 = T2096).

The spelling of 2197208448 in words is "two billion, one hundred ninety-seven million, two hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 367 384 576 734 1101 1152 1468 2202 2936 3303 4404 5197 5872 6606 8808 10394 11744 13212 15591 17616 20788 23488 26424 31182 35232 41576 46773 46976 52848 62364 70464 83152 93546 105696 124728 140928 166304 187092 211392 249456 332608 374184 422784 498912 665216 748368 997824 1496736 1907299 1995648 2993472 3814598 5721897 5986944 7629196 11443794 15258392 17165691 22887588 30516784 34331382 45775176 61033568 68662764 91550352 122067136 137325528 183100704 244134272 274651056 366201408 549302112 732402816 1098604224 2197208448