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225541132400 = 24523118188801
BaseRepresentation
bin1101001000001101001…
…1001001000001110000
3210120011100102122102002
43102003103021001300
512143402012214100
6251340121113132
722203055664603
oct3220323110160
9716140378362
10225541132400
11877190a8a91
12378653287a8
13183649ac87c
14acb828a33a
155d008d72d5
hex34834c9070

225541132400 has 60 divisors (see below), whose sum is σ = 559342039104. Its totient is φ = 87306240000.

The previous prime is 225541132391. The next prime is 225541132447. The reversal of 225541132400 is 4231145522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9082001 + ... + 9106800.

Almost surely, 2225541132400 is an apocalyptic number.

225541132400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225541132400 is an abundant number, since it is smaller than the sum of its proper divisors (333800906704).

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

225541132400 is a wasteful number, since it uses less digits than its factorization.

225541132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18188850 (or 18188839 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 225541132400 its reverse (4231145522), we get a palindrome (229772277922).

The spelling of 225541132400 in words is "two hundred twenty-five billion, five hundred forty-one million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 18188801 36377602 72755204 90944005 145510408 181888010 291020816 363776020 454720025 563852831 727552040 909440050 1127705662 1455104080 1818880100 2255411324 2819264155 3637760200 4510822648 5638528310 7275520400 9021645296 11277056620 14096320775 22554113240 28192641550 45108226480 56385283100 112770566200 225541132400