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2243006640 = 24355753311
BaseRepresentation
bin1000010110110001…
…1001000010110000
312210022121112200000
42011230121002300
514043202203030
61010323230000
7106404145650
oct20554310260
95708545600
102243006640
11a511340a6
12527218300
1329990b884
14173c74360
15d1db4860
hex85b190b0

2243006640 has 480 divisors, whose sum is σ = 9125415936. Its totient is φ = 501396480.

The previous prime is 2243006629. The next prime is 2243006641. The reversal of 2243006640 is 466003422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2243006641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7212085 + ... + 7212395.

Almost surely, 22243006640 is an apocalyptic number.

2243006640 is a gapful number since it is divisible by the number (20) 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 2243006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562707968).

2243006640 is an abundant number, since it is smaller than the sum of its proper divisors (6882409296).

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

2243006640 is a wasteful number, since it uses less digits than its factorization.

2243006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2243006640 is about 47360.3910456829. The cubic root of 2243006640 is about 1309.0116741815.

The spelling of 2243006640 in words is "two billion, two hundred forty-three million, six thousand, six hundred forty".