Search a number
-
+
3231113200 = 245275321773
BaseRepresentation
bin1100000010010110…
…1101111111110000
322100011220120001021
43000211231333300
523104131110300
61252341545224
7143033003050
oct30045557760
98304816037
103231113200
111408974197
12762115214
133c6543403
142291a7560
1513d9e6d1a
hexc096dff0

3231113200 has 120 divisors (see below), whose sum is σ = 9039519648. Its totient is φ = 1086858240.

The previous prime is 3231113189. The next prime is 3231113261. The reversal of 3231113200 is 23111323.

It is a super-2 number, since 2×32311132002 = 20880185022428480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137514 + ... + 159286.

Almost surely, 23231113200 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 3231113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519759824).

3231113200 is an abundant number, since it is smaller than the sum of its proper divisors (5808406448).

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

3231113200 is a wasteful number, since it uses less digits than its factorization.

3231113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21851 (or 21840 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3231113200 is about 56842.8817003501. The cubic root of 3231113200 is about 1478.3731210131.

Adding to 3231113200 its reverse (23111323), we get a palindrome (3254224523).

The spelling of 3231113200 in words is "three billion, two hundred thirty-one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 53 56 70 80 100 106 112 140 175 200 212 265 280 350 371 400 424 530 560 700 742 848 1060 1325 1400 1484 1855 2120 2650 2800 2968 3710 4240 5300 5936 7420 9275 10600 14840 18550 21200 21773 29680 37100 43546 74200 87092 108865 148400 152411 174184 217730 304822 348368 435460 544325 609644 762055 870920 1088650 1153969 1219288 1524110 1741840 2177300 2307938 2438576 3048220 3810275 4354600 4615876 5769845 6096440 7620550 8077783 8709200 9231752 11539690 12192880 15241100 16155566 18463504 23079380 28849225 30482200 32311132 40388915 46158760 57698450 60964400 64622264 80777830 92317520 115396900 129244528 161555660 201944575 230793800 323111320 403889150 461587600 646222640 807778300 1615556600 3231113200