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2207960664 = 2337132194093
BaseRepresentation
bin1000001110011010…
…1100111001011000
312200212200000121220
42003212230321120
514010214220124
61003032132040
7105500233050
oct20346547130
95625600556
102207960664
11a33377588
12517537020
1329258ac00
1416d350560
15cdc90879
hex839ace58

2207960664 has 192 divisors, whose sum is σ = 7192339200. Its totient is φ = 551536128.

The previous prime is 2207960641. The next prime is 2207960669. The reversal of 2207960664 is 4660697022.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2207960669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537402 + ... + 541494.

It is an arithmetic number, because the mean of its divisors is an integer number (37460100).

Almost surely, 22207960664 is an apocalyptic number.

2207960664 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 2207960664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596169600).

2207960664 is an abundant number, since it is smaller than the sum of its proper divisors (4984378536).

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

2207960664 is a wasteful number, since it uses less digits than its factorization.

2207960664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2207960664 is about 46988.9419331825. The cubic root of 2207960664 is about 1302.1582814692.

The spelling of 2207960664 in words is "two billion, two hundred seven million, nine hundred sixty thousand, six hundred sixty-four".