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1228824680 = 23523258073
BaseRepresentation
bin100100100111110…
…0110000001101000
310011122020202120012
41021033212001220
510004034342210
6321533551052
742310560146
oct11117460150
93148222505
101228824680
11580704196
122a3645488
131677774c5
14b92b4596
1572d31305
hex493e6068

1228824680 has 48 divisors (see below), whose sum is σ = 2890342980. Its totient is φ = 470150912.

The previous prime is 1228824679. The next prime is 1228824721. The reversal of 1228824680 is 864288221.

It can be written as a sum of positive squares in 2 ways, for example, as 1075708804 + 153115876 = 32798^2 + 12374^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7877 + ... + 50196.

Almost surely, 21228824680 is an apocalyptic number.

1228824680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1228824680 is an abundant number, since it is smaller than the sum of its proper divisors (1661518300).

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

1228824680 is a wasteful number, since it uses less digits than its factorization.

1228824680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58130 (or 58103 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 1228824680 is about 35054.5957044151. The cubic root of 1228824680 is about 1071.0998909191.

The spelling of 1228824680 in words is "one billion, two hundred twenty-eight million, eight hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 920 1058 2116 2645 4232 5290 10580 21160 58073 116146 232292 290365 464584 580730 1161460 1335679 2322920 2671358 5342716 6678395 10685432 13356790 26713580 30720617 53427160 61441234 122882468 153603085 245764936 307206170 614412340 1228824680