Search a number
-
+
245364332200 = 2352131076071453
BaseRepresentation
bin1110010010000011011…
…0101001011010101000
3212110022212021112101021
43210200312221122220
513010001232112300
6304415133102224
723504233261201
oct3444066513250
9773285245337
10245364332200
1195070850439
123b678027974
131a1a3863bb0
14bc38cac5a8
1565b0d7cd1a
hex3920da96a8

245364332200 has 192 divisors, whose sum is σ = 621545218560. Its totient is φ = 89539845120.

The previous prime is 245364332173. The next prime is 245364332209. The reversal of 245364332200 is 2233463542.

It is not an unprimeable number, because it can be changed into a prime (245364332209) 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 47 ways as a sum of consecutive naturals, for example, 168866674 + ... + 168868126.

It is an arithmetic number, because the mean of its divisors is an integer number (3237214680).

Almost surely, 2245364332200 is an apocalyptic number.

245364332200 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 245364332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310772609280).

245364332200 is an abundant number, since it is smaller than the sum of its proper divisors (376180886360).

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

245364332200 is a wasteful number, since it uses less digits than its factorization.

245364332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 245364332200 its reverse (2233463542), we get a palindrome (247597795742).

The spelling of 245364332200 in words is "two hundred forty-five billion, three hundred sixty-four million, three hundred thirty-two thousand, two hundred".