| Base | Representation |
|---|---|
| bin | 100100011110010… |
| … | …0010010010100000 |
| 3 | 10011021211221021200 |
| 4 | 1020330202102200 |
| 5 | 10001300004030 |
| 6 | 321234521200 |
| 7 | 42220241346 |
| oct | 11074422240 |
| 9 | 3137757250 |
| 10 | 1223828640 |
| 11 | 578901631 |
| 12 | 2a1a36200 |
| 13 | 166718478 |
| 14 | b8773996 |
| 15 | 72695d60 |
| hex | 48f224a0 |
1223828640 has 144 divisors (see below), whose sum is σ = 4422069288. Its totient is φ = 307150848.
The previous prime is 1223828581. The next prime is 1223828651. The reversal of 1223828640 is 468283221.
1223828640 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 8 + 2 + 8 + 640 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1158993936 + 64834704 = 34044^2 + 8052^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1223828595 and 1223828604.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517 + ... + 49476.
Almost surely, 21223828640 is an apocalyptic number.
1223828640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1223828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211034644).
1223828640 is an abundant number, since it is smaller than the sum of its proper divisors (3198240648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223828640 is a wasteful number, since it uses less digits than its factorization.
1223828640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 50031 (or 50020 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 1223828640 is about 34983.2622835550. The cubic root of 1223828640 is about 1069.6463267599.
The spelling of 1223828640 in words is "one billion, two hundred twenty-three million, eight hundred twenty-eight thousand, six hundred forty".
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