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1222233728 = 2737421613
BaseRepresentation
bin100100011011001…
…1100111010000000
310011011211220110212
41020312130322000
510000342434403
6321140413252
742200546432
oct11066347200
93134756425
101222233728
11577a12321
122a13a7228
131662aa531
14b847a652
157247d4d8
hex48d9ce80

1222233728 has 64 divisors (see below), whose sum is σ = 2510756520. Its totient is φ = 592220160.

The previous prime is 1222233709. The next prime is 1222233737. The reversal of 1222233728 is 8273322221.

It can be written as a sum of positive squares in 4 ways, for example, as 487173184 + 735060544 = 22072^2 + 27112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1222233694 and 1222233703.

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 7 ways as a sum of consecutive naturals, for example, 1993550 + ... + 1994162.

Almost surely, 21222233728 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 1222233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255378260).

1222233728 is an abundant number, since it is smaller than the sum of its proper divisors (1288522792).

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

1222233728 is an equidigital number, since it uses as much as digits as its factorization.

1222233728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1073 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 1222233728 is about 34960.4594935479. The cubic root of 1222233728 is about 1069.1814650042.

Adding to 1222233728 its reverse (8273322221), we get a palindrome (9495555949).

The spelling of 1222233728 in words is "one billion, two hundred twenty-two million, two hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 421 592 613 842 1184 1226 1684 2368 2452 3368 4736 4904 6736 9808 13472 15577 19616 22681 26944 31154 39232 45362 53888 62308 78464 90724 124616 181448 249232 258073 362896 498464 516146 725792 996928 1032292 1451584 1993856 2064584 2903168 4129168 8258336 9548701 16516672 19097402 33033344 38194804 76389608 152779216 305558432 611116864 1222233728