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1223430400 = 2852191161
BaseRepresentation
bin100100011101100…
…0001000100000000
310011021002201000001
41020323001010000
510001144233100
6321222205344
742213662323
oct11073010400
93137081001
101223430400
1157865a405
122a1883854
1316660911a
14b86ac7ba
1572617d6a
hex48ec1100

1223430400 has 54 divisors (see below), whose sum is σ = 3028197242. Its totient is φ = 489369600.

The previous prime is 1223430379. The next prime is 1223430409. The reversal of 1223430400 is 40343221.

It can be written as a sum of positive squares in 3 ways, for example, as 326308096 + 897122304 = 18064^2 + 29952^2 .

It is not an unprimeable number, because it can be changed into a prime (1223430409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89181 + ... + 101980.

Almost surely, 21223430400 is an apocalyptic number.

1223430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223430400 is an abundant number, since it is smaller than the sum of its proper divisors (1804766842).

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

1223430400 is an equidigital number, since it uses as much as digits as its factorization.

1223430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191187 (or 191168 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1223430400 is about 34977.5699556158. The cubic root of 1223430400 is about 1069.5302914064.

Adding to 1223430400 its reverse (40343221), we get a palindrome (1263773621).

It can be divided in two parts, 1223430 and 400, that added together give a triangular number (1223830 = T1564).

The spelling of 1223430400 in words is "one billion, two hundred twenty-three million, four hundred thirty 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 191161 382322 764644 955805 1529288 1911610 3058576 3823220 4779025 6117152 7646440 9558050 12234304 15292880 19116100 24468608 30585760 38232200 48937216 61171520 76464400 122343040 152928800 244686080 305857600 611715200 1223430400