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225435512420 = 22596011174021
BaseRepresentation
bin1101000111110100000…
…0001110111001100100
3210112212222200121000222
43101331000032321210
512143142442344140
6251321425223512
722200334144616
oct3217500167144
9715788617028
10225435512420
1187674519148
1237835a91b98
1318348b4c041
14aca8234db6
155ce64c25b5
hex347d00ee64

225435512420 has 24 divisors (see below), whose sum is σ = 473464288248. Its totient is φ = 90164736000.

The previous prime is 225435512417. The next prime is 225435512507. The reversal of 225435512420 is 24215534522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4405773376 + 221029739044 = 66376^2 + 470138^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394991 + ... + 779030.

It is an arithmetic number, because the mean of its divisors is an integer number (19727678677).

Almost surely, 2225435512420 is an apocalyptic number.

225435512420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225435512420 is an abundant number, since it is smaller than the sum of its proper divisors (248028775828).

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

225435512420 is a wasteful number, since it uses less digits than its factorization.

225435512420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183631 (or 1183629 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 225435512420 in words is "two hundred twenty-five billion, four hundred thirty-five million, five hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 9601 19202 38404 48005 96010 192020 1174021 2348042 4696084 5870105 11740210 23480420 11271775621 22543551242 45087102484 56358878105 112717756210 225435512420