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2207663664 = 243731574013
BaseRepresentation
bin1000001110010110…
…0100011000110000
312200212002221012220
42003211210120300
514010130214124
61003021521040
7105464555133
oct20345443060
95625087186
102207663664
11a33194428
12517413180
132924b597b
1416d2b421a
15cdc32879
hex83964630

2207663664 has 80 divisors (see below), whose sum is σ = 5819529312. Its totient is φ = 721004544.

The previous prime is 2207663641. The next prime is 2207663677. The reversal of 2207663664 is 4663667022.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548122 + ... + 552134.

Almost surely, 22207663664 is an apocalyptic number.

2207663664 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 2207663664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909764656).

2207663664 is an abundant number, since it is smaller than the sum of its proper divisors (3611865648).

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

2207663664 is a wasteful number, since it uses less digits than its factorization.

2207663664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 2207663664 is about 46985.7815088778. The cubic root of 2207663664 is about 1302.0998929967.

The spelling of 2207663664 in words is "two billion, two hundred seven million, six hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 157 219 292 314 438 471 584 628 876 942 1168 1256 1752 1884 2512 3504 3768 4013 7536 8026 11461 12039 16052 22922 24078 32104 34383 45844 48156 64208 68766 91688 96312 137532 183376 192624 275064 292949 550128 585898 630041 878847 1171796 1260082 1757694 1890123 2343592 2520164 3515388 3780246 4687184 5040328 7030776 7560492 10080656 14061552 15120984 30241968 45992993 91985986 137978979 183971972 275957958 367943944 551915916 735887888 1103831832 2207663664