Search a number
-
+
1024222464 = 28322915329
BaseRepresentation
bin111101000011000…
…110010100000000
32122101020220002100
4331003012110000
54044200104324
6245344350400
734244514216
oct7503062400
92571226070
101024222464
11486168551
12247015400
1313426b4c5
149a054cb6
155edb84c9
hex3d0c6500

1024222464 has 108 divisors (see below), whose sum is σ = 3055115700. Its totient is φ = 329613312.

The previous prime is 1024222457. The next prime is 1024222469. The reversal of 1024222464 is 4642224201.

It can be written as a sum of positive squares in 2 ways, for example, as 288728064 + 735494400 = 16992^2 + 27120^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024222469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 59152 + ... + 74480.

Almost surely, 21024222464 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 1024222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527557850).

1024222464 is an abundant number, since it is smaller than the sum of its proper divisors (2030893236).

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

1024222464 is a wasteful number, since it uses less digits than its factorization.

1024222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15380 (or 15363 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1024222464 is about 32003.4758112303. The cubic root of 1024222464 is about 1008.0098260569.

Adding to 1024222464 its reverse (4642224201), we get a palindrome (5666446665).

The spelling of 1024222464 in words is "one billion, twenty-four million, two hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 7424 8352 11136 15329 16704 22272 30658 33408 45987 61316 66816 91974 122632 137961 183948 245264 275922 367896 444541 490528 551844 735792 889082 981056 1103688 1333623 1471584 1778164 1962112 2207376 2667246 2943168 3556328 3924224 4000869 4414752 5334492 5886336 7112656 8001738 8829504 10668984 11772672 14225312 16003476 17659008 21337968 28450624 32006952 35318016 42675936 56901248 64013904 85351872 113802496 128027808 170703744 256055616 341407488 512111232 1024222464