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215852230801 = 79258812
BaseRepresentation
bin1100100100000111001…
…0111010100010010001
3202122011010001110001201
43021001302322202101
512014031132341201
6243054450231201
721411006455224
oct3110162724221
9678133043051
10215852230801
11835a6a58899
1235a00585501
131747c5a79bc
14a6395895bb
155934ecb801
hex3241cba891

215852230801 has 9 divisors (see below), whose sum is σ = 218656303803. Its totient is φ = 213083685360.

The previous prime is 215852230771. The next prime is 215852230807. The reversal of 215852230801 is 108032258512.

The square root of 215852230801 is 464599.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 179904070801 + 35948160000 = 424151^2 + 189600^2 .

It is not a de Polignac number, because 215852230801 - 221 = 215850133649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (215852230807) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36700381 + ... + 36706261.

It is an arithmetic number, because the mean of its divisors is an integer number (24295144867).

Almost surely, 2215852230801 is an apocalyptic number.

215852230801 is the 464599-th square number.

215852230801 is the 232300-th centered octagonal number.

It is an amenable number.

215852230801 is a deficient number, since it is larger than the sum of its proper divisors (2804073002).

215852230801 is an frugal number, since it uses more digits than its factorization.

215852230801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11920 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 215852230801 in words is "two hundred fifteen billion, eight hundred fifty-two million, two hundred thirty thousand, eight hundred one".

Divisors: 1 79 5881 6241 464599 34586161 36703321 2732306719 215852230801