Search a number
-
+
2032203030200 = 235275327388181
BaseRepresentation
bin11101100100101000101…
…111010101111010111000
321012021110201112021122022
4131210220233111322320
5231243422433431300
64153325311414012
7266551612513340
oct35445057257270
97167421467568
102032203030200
117139416a4032
12289a30824308
1311983617c125
1470505723d20
1537ce0221285
hex1d928bd5eb8

2032203030200 has 96 divisors (see below), whose sum is σ = 5501738000160. Its totient is φ = 683608972800.

The previous prime is 2032203030197. The next prime is 2032203030203. The reversal of 2032203030200 is 20303022302.

It is an interprime number because it is at equal distance from previous prime (2032203030197) and next prime (2032203030203).

It is a super-2 number, since 2×20322030302002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032203030203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13619891 + ... + 13768290.

It is an arithmetic number, because the mean of its divisors is an integer number (57309770835).

Almost surely, 22032203030200 is an apocalyptic number.

2032203030200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032203030200 is an abundant number, since it is smaller than the sum of its proper divisors (3469534969960).

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

2032203030200 is a wasteful number, since it uses less digits than its factorization.

2032203030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27388257 (or 27388248 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 2032203030200 its reverse (20303022302), we get a palindrome (2052506052502).

The spelling of 2032203030200 in words is "two trillion, thirty-two billion, two hundred three million, thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 70 100 106 140 175 200 212 265 280 350 371 424 530 700 742 1060 1325 1400 1484 1855 2120 2650 2968 3710 5300 7420 9275 10600 14840 18550 37100 74200 27388181 54776362 109552724 136940905 191717267 219105448 273881810 383434534 547763620 684704525 766869068 958586335 1095527240 1369409050 1451573593 1533738136 1917172670 2738818100 2903147186 3834345340 4792931675 5477636200 5806294372 7257867965 7668690680 9585863350 10161015151 11612588744 14515735930 19171726700 20322030302 29031471860 36289339825 38343453400 40644060604 50805075755 58062943720 72578679650 81288121208 101610151510 145157359300 203220303020 254025378775 290314718600 406440606040 508050757550 1016101515100 2032203030200