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245644100 = 225213188957
BaseRepresentation
bin11101010010000…
…11101101000100
3122010020000100122
432221003231010
51000341102400
640213001112
76041640362
oct1651035504
9563200318
10245644100
11116729059
126a323198
133bb78b50
14248a4632
1516873685
hexea43b44

245644100 has 36 divisors (see below), whose sum is σ = 574054404. Its totient is φ = 90698880.

The previous prime is 245643991. The next prime is 245644111. The reversal of 245644100 is 1446542.

It can be written as a sum of positive squares in 6 ways, for example, as 38514436 + 207129664 = 6206^2 + 14392^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 245644100.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 93179 + ... + 95778.

Almost surely, 2245644100 is an apocalyptic number.

245644100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245644100 is an abundant number, since it is smaller than the sum of its proper divisors (328410304).

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

245644100 is a wasteful number, since it uses less digits than its factorization.

245644100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188984 (or 188977 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 245644100 is about 15673.0373571940. The cubic root of 245644100 is about 626.2803407066.

The spelling of 245644100 in words is "two hundred forty-five million, six hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 188957 377914 755828 944785 1889570 2456441 3779140 4723925 4912882 9447850 9825764 12282205 18895700 24564410 49128820 61411025 122822050 245644100