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245324800 = 210527372
BaseRepresentation
bin11101001111101…
…01110000000000
3122002121210100201
432213311300000
51000300343200
640202054544
76036140440
oct1647656000
9562553321
10245324800
11116530176
126a1aa454
133ba96706
1424820120
151680dc6a
hexe9f5c00

245324800 has 198 divisors, whose sum is σ = 714271992. Its totient is φ = 81838080.

The previous prime is 245324743. The next prime is 245324801. The reversal of 245324800 is 8423542.

245324800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245324801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6630382 + ... + 6630418.

Almost surely, 2245324800 is an apocalyptic number.

245324800 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 245324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357135996).

245324800 is an abundant number, since it is smaller than the sum of its proper divisors (468947192).

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

245324800 is an equidigital number, since it uses as much as digits as its factorization.

245324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 245324800 is about 15662.8477615024. The cubic root of 245324800 is about 626.0088666248.

Multiplying 245324800 by its sum of digits (28), we get a square (6869094400 = 828802).

245324800 divided by its sum of digits (28) gives a square (8761600 = 29602).

The spelling of 245324800 in words is "two hundred forty-five million, three hundred twenty-four thousand, eight hundred".