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2032243312 = 241129339409
BaseRepresentation
bin111100100100001…
…1001001001110000
312020122000122201211
41321020121021300
513130223241222
6533354005504
7101234532421
oct17110311160
95218018654
102032243312
1195316a530
12488716894
13265056448
14153c8d648
15bd631277
hex79219270

2032243312 has 40 divisors (see below), whose sum is σ = 4310192880. Its totient is φ = 920570880.

The previous prime is 2032243303. The next prime is 2032243319. The reversal of 2032243312 is 2133422302.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032243319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31864 + ... + 71272.

It is an arithmetic number, because the mean of its divisors is an integer number (107754822).

Almost surely, 22032243312 is an apocalyptic number.

2032243312 is a gapful number since it is divisible by the number (22) 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 2032243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155096440).

2032243312 is an abundant number, since it is smaller than the sum of its proper divisors (2277949568).

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

2032243312 is a wasteful number, since it uses less digits than its factorization.

2032243312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39721 (or 39715 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2032243312 is about 45080.4094036423. The cubic root of 2032243312 is about 1266.6556587532.

Adding to 2032243312 its reverse (2133422302), we get a palindrome (4165665614).

The spelling of 2032243312 in words is "two billion, thirty-two million, two hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 293 586 1172 2344 3223 4688 6446 12892 25784 39409 51568 78818 157636 315272 433499 630544 866998 1733996 3467992 6935984 11546837 23093674 46187348 92374696 127015207 184749392 254030414 508060828 1016121656 2032243312