Search a number
-
+
1223971328 = 2910123669
BaseRepresentation
bin100100011110100…
…0101001000000000
310011022010012000102
41020331011020000
510001314040303
6321241541532
742221404346
oct11075051000
93138105012
101223971328
11578999858
122a1aa48a8
131667683b8
14b87ad996
15726c3288
hex48f45200

1223971328 has 40 divisors (see below), whose sum is σ = 2469869820. Its totient is φ = 605900800.

The previous prime is 1223971327. The next prime is 1223971339. The reversal of 1223971328 is 8231793221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1169092864 + 54878464 = 34192^2 + 7408^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1223971291 and 1223971300.

It is not an unprimeable number, because it can be changed into a prime (1223971327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39878 + ... + 63546.

Almost surely, 21223971328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234934910).

1223971328 is an abundant number, since it is smaller than the sum of its proper divisors (1245898492).

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

1223971328 is an equidigital number, since it uses as much as digits as its factorization.

1223971328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23788 (or 23772 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 1223971328 is about 34985.3015993860. The cubic root of 1223971328 is about 1069.6878956960.

The spelling of 1223971328 in words is "one billion, two hundred twenty-three million, nine hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1616 3232 6464 12928 23669 25856 47338 51712 94676 189352 378704 757408 1514816 2390569 3029632 4781138 6059264 9562276 12118528 19124552 38249104 76498208 152996416 305992832 611985664 1223971328