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245532000 = 2535373779
BaseRepresentation
bin11101010001010…
…00010101100000
3122010000022120210
432220220111200
51000324011000
640210334120
76040662510
oct1650502540
9563008523
10245532000
1111666190a
126a28a340
133bb39b0c
1424875840
1516850350
hexea28560

245532000 has 384 divisors, whose sum is σ = 956067840. Its totient is φ = 53913600.

The previous prime is 245531999. The next prime is 245532017. The reversal of 245532000 is 235542.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3107961 + ... + 3108039.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2245532000 is an apocalyptic number.

245532000 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 245532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478033920).

245532000 is an abundant number, since it is smaller than the sum of its proper divisors (710535840).

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

245532000 is a wasteful number, since it uses less digits than its factorization.

245532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 245532000 is about 15669.4607437525. The cubic root of 245532000 is about 626.1850582656.

Adding to 245532000 its reverse (235542), we get a palindrome (245767542).

The spelling of 245532000 in words is "two hundred forty-five million, five hundred thirty-two thousand".