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1640223232 = 2916719183
BaseRepresentation
bin110000111000011…
…1101001000000000
311020022100222021121
41201300331020000
511324344120412
6430431402024
755434444634
oct14160751000
94208328247
101640223232
11771954a9a
12399383314
13201a7a0bb
14117ba4dc4
1598ee7107
hex61c3d200

1640223232 has 40 divisors (see below), whose sum is σ = 3297038976. Its totient is φ = 815158272.

The previous prime is 1640223217. The next prime is 1640223239. The reversal of 1640223232 is 2323220461.

It is a junction number, because it is equal to n+sod(n) for n = 1640223197 and 1640223206.

It is not an unprimeable number, because it can be changed into a prime (1640223239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75913 + ... + 95095.

Almost surely, 21640223232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648519488).

1640223232 is an abundant number, since it is smaller than the sum of its proper divisors (1656815744).

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

1640223232 is an equidigital number, since it uses as much as digits as its factorization.

1640223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19368 (or 19352 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1640223232 is about 40499.6695295159. The cubic root of 1640223232 is about 1179.3272119951.

Adding to 1640223232 its reverse (2323220461), we get a palindrome (3963443693).

The spelling of 1640223232 in words is "one billion, six hundred forty million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 512 668 1336 2672 5344 10688 19183 21376 38366 42752 76732 85504 153464 306928 613856 1227712 2455424 3203561 4910848 6407122 9821696 12814244 25628488 51256976 102513952 205027904 410055808 820111616 1640223232