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1223216448 = 26337233739
BaseRepresentation
bin100100011101000…
…1100110101000000
310011020200211111220
41020322030311000
510001120411243
6321213435040
742212111466
oct11072146500
93136624456
101223216448
11578523693
122a179ba80
1316656291c
14b8654836
15725c4783
hex48e8cd40

1223216448 has 112 divisors (see below), whose sum is σ = 3342680640. Its totient is φ = 394481664.

The previous prime is 1223216441. The next prime is 1223216461. The reversal of 1223216448 is 8446123221.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (18432) is a multiple of the sum of its prime factors (1024).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223216441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654863 + ... + 1655601.

Almost surely, 21223216448 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 1223216448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671340320).

1223216448 is an abundant number, since it is smaller than the sum of its proper divisors (2119464192).

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

1223216448 is a wasteful number, since it uses less digits than its factorization.

1223216448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 1223216448 is about 34974.5114047359. The cubic root of 1223216448 is about 1069.4679417255.

Adding to 1223216448 its reverse (8446123221), we get a palindrome (9669339669).

It can be divided in two parts, 12232 and 16448, that added together give a triangular number (28680 = T239).

The spelling of 1223216448 in words is "one billion, two hundred twenty-three million, two hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 233 296 444 466 592 699 739 888 932 1184 1398 1478 1776 1864 2217 2368 2796 2956 3552 3728 4434 5592 5912 7104 7456 8621 8868 11184 11824 14912 17242 17736 22368 23648 25863 27343 34484 35472 44736 47296 51726 54686 68968 70944 82029 103452 109372 137936 141888 164058 172187 206904 218744 275872 328116 344374 413808 437488 516561 551744 656232 688748 827616 874976 1033122 1312464 1377496 1655232 1749952 2066244 2624928 2754992 4132488 5249856 5509984 6370919 8264976 11019968 12741838 16529952 19112757 25483676 33059904 38225514 50967352 76451028 101934704 152902056 203869408 305804112 407738816 611608224 1223216448