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2230104400 = 24525575261
BaseRepresentation
bin1000010011101100…
…1011000101010000
312202102100001010021
42010323023011100
514031401320100
61005142513224
7106156401046
oct20473130520
95672301107
102230104400
11a44921497
12522a35814
13297042004
14172276396
15d0bb6a1a
hex84ecb150

2230104400 has 30 divisors (see below), whose sum is σ = 5357826782. Its totient is φ = 892041600.

The previous prime is 2230104323. The next prime is 2230104407. The reversal of 2230104400 is 44010322.

It can be written as a sum of positive squares in 3 ways, for example, as 85673536 + 2144430864 = 9256^2 + 46308^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230104407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2787231 + ... + 2788030.

Almost surely, 22230104400 is an apocalyptic number.

2230104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230104400 is an abundant number, since it is smaller than the sum of its proper divisors (3127722382).

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

2230104400 is a wasteful number, since it uses less digits than its factorization.

2230104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575279 (or 5575268 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2230104400 is about 47223.9811959983. The cubic root of 2230104400 is about 1306.4969439189.

Adding to 2230104400 its reverse (44010322), we get a palindrome (2274114722).

The spelling of 2230104400 in words is "two billion, two hundred thirty million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5575261 11150522 22301044 27876305 44602088 55752610 89204176 111505220 139381525 223010440 278763050 446020880 557526100 1115052200 2230104400