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2002216704 = 28314917497
BaseRepresentation
bin111011101010111…
…0110011100000000
312011112112010222020
41313111312130000
513100031413304
6530402241440
7100421363325
oct16725663400
95145463866
102002216704
11938221054
1247a656280
1325ba72317
1414dcb4b4c
15bab9e5d9
hex77576700

2002216704 has 72 divisors (see below), whose sum is σ = 5364886800. Its totient is φ = 662888448.

The previous prime is 2002216693. The next prime is 2002216717. The reversal of 2002216704 is 4076122002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 105684 + ... + 123180.

Almost surely, 22002216704 is an apocalyptic number.

2002216704 is a gapful number since it is divisible by the number (24) 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 2002216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682443400).

2002216704 is an abundant number, since it is smaller than the sum of its proper divisors (3362670096).

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

2002216704 is a wasteful number, since it uses less digits than its factorization.

2002216704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17665 (or 17651 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2002216704 is about 44746.1361907372. The cubic root of 2002216704 is about 1260.3863567011.

Adding to 2002216704 its reverse (4076122002), we get a palindrome (6078338706).

The spelling of 2002216704 in words is "two billion, two million, two hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 596 768 894 1192 1788 2384 3576 4768 7152 9536 14304 17497 19072 28608 34994 38144 52491 57216 69988 104982 114432 139976 209964 279952 419928 559904 839856 1119808 1679712 2239616 2607053 3359424 4479232 5214106 6718848 7821159 10428212 13437696 15642318 20856424 31284636 41712848 62569272 83425696 125138544 166851392 250277088 333702784 500554176 667405568 1001108352 2002216704