Search a number
-
+
15071952200 = 235286812
BaseRepresentation
bin11100000100101101…
…11011110101001000
31102220101112111112212
432002112323311020
5221331404432300
610531324124252
71042332323414
oct160226736510
942811474485
1015071952200
1164347a6848
122b07696688
13156271c316
14a2d9d3d44
155d32c8935
hex3825bbd48

15071952200 has 36 divisors (see below), whose sum is σ = 35046325995. Its totient is φ = 6028086400.

The previous prime is 15071952197. The next prime is 15071952209. The reversal of 15071952200 is 225917051.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

15071952200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 10620126916 + 4451825284 = 103054^2 + 66722^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=86810.

It is not an unprimeable number, because it can be changed into a prime (15071952209) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1731860 + ... + 1740540.

Almost surely, 215071952200 is an apocalyptic number.

15071952200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15071952200 is an abundant number, since it is smaller than the sum of its proper divisors (19974373795).

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

15071952200 is an frugal number, since it uses more digits than its factorization.

15071952200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17378 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

Multiplying 15071952200 by its sum of digits (32), we get a square (482302470400 = 6944802).

The spelling of 15071952200 in words is "fifteen billion, seventy-one million, nine hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 8681 17362 34724 43405 69448 86810 173620 217025 347240 434050 868100 1736200 75359761 150719522 301439044 376798805 602878088 753597610 1507195220 1883994025 3014390440 3767988050 7535976100 15071952200