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1225350400 = 2852191461
BaseRepresentation
bin100100100001001…
…0101110100000000
310011101201020202011
41021002111310000
510002142203100
6321331302304
742236210101
oct11102256400
93141636664
101225350400
1157975098a
122a244a994
13166b2c011
14b8a4c3a8
1572896bba
hex49095d00

1225350400 has 54 divisors (see below), whose sum is σ = 3032949542. Its totient is φ = 490137600.

The previous prime is 1225350397. The next prime is 1225350419. The reversal of 1225350400 is 40535221.

It can be written as a sum of positive squares in 3 ways, for example, as 238887936 + 986462464 = 15456^2 + 31408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89331 + ... + 102130.

Almost surely, 21225350400 is an apocalyptic number.

1225350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225350400 is an abundant number, since it is smaller than the sum of its proper divisors (1807599142).

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

1225350400 is an equidigital number, since it uses as much as digits as its factorization.

1225350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191487 (or 191468 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1225350400 is about 35005.0053563773. The cubic root of 1225350400 is about 1070.0894908701.

Adding to 1225350400 its reverse (40535221), we get a palindrome (1265885621).

The spelling of 1225350400 in words is "one billion, two hundred twenty-five million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 191461 382922 765844 957305 1531688 1914610 3063376 3829220 4786525 6126752 7658440 9573050 12253504 15316880 19146100 24507008 30633760 38292200 49014016 61267520 76584400 122535040 153168800 245070080 306337600 612675200 1225350400