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215013422200 = 235261147111981
BaseRepresentation
bin1100100000111111001…
…1000111010001111000
3202112222122200112222111
43020033303013101320
512010321414002300
6242435323502104
721351142635133
oct3101763072170
9675878615874
10215013422200
1183206520545
1235807687934
1317377887655
14a599ddb21a
1558d653a9ba
hex320fcc7478

215013422200 has 96 divisors (see below), whose sum is σ = 508489240320. Its totient is φ = 84530880000.

The previous prime is 215013422191. The next prime is 215013422207. The reversal of 215013422200 is 2224310512.

It is a happy number.

215013422200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215013422207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17940210 + ... + 17952190.

It is an arithmetic number, because the mean of its divisors is an integer number (5296762920).

Almost surely, 2215013422200 is an apocalyptic number.

215013422200 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 215013422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254244620160).

215013422200 is an abundant number, since it is smaller than the sum of its proper divisors (293475818120).

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

215013422200 is a wasteful number, since it uses less digits than its factorization.

215013422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13529 (or 13520 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 215013422200 its reverse (2224310512), we get a palindrome (217237732712).

The spelling of 215013422200 in words is "two hundred fifteen billion, thirteen million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1471 1525 2440 2942 3050 5884 6100 7355 11768 11981 12200 14710 23962 29420 36775 47924 58840 59905 73550 89731 95848 119810 147100 179462 239620 294200 299525 358924 448655 479240 599050 717848 730841 897310 1198100 1461682 1794620 2243275 2396200 2923364 3589240 3654205 4486550 5846728 7308410 8973100 14616820 17624051 17946200 18271025 29233640 35248102 36542050 70496204 73084100 88120255 140992408 146168200 176240510 352481020 440601275 704962040 881202550 1075067111 1762405100 2150134222 3524810200 4300268444 5375335555 8600536888 10750671110 21501342220 26876677775 43002684440 53753355550 107506711100 215013422200