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2206941264 = 2432112235507
BaseRepresentation
bin1000001110001011…
…0100000001010000
312200210202020021100
42003202310001100
514004434110024
61002554224400
7105455456043
oct20342640120
95623666240
102206941264
11a32840700
12517125100
132922c1c08
1416d166c5a
15cdb3d7c9
hex838b4050

2206941264 has 180 divisors, whose sum is σ = 7085359008. Its totient is φ = 639576960.

The previous prime is 2206941263. The next prime is 2206941281. The reversal of 2206941264 is 4621496022.

It is a super-3 number, since 3×22069412643 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206941263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 397999 + ... + 403505.

Almost surely, 22206941264 is an apocalyptic number.

2206941264 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 2206941264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542679504).

2206941264 is an abundant number, since it is smaller than the sum of its proper divisors (4878417744).

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

2206941264 is a wasteful number, since it uses less digits than its factorization.

2206941264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2206941264 is about 46978.0934479040. The cubic root of 2206941264 is about 1301.9578514958.

The spelling of 2206941264 in words is "two billion, two hundred six million, nine hundred forty-one thousand, two hundred sixty-four".