Search a number
-
+
2355221344 = 257172326891
BaseRepresentation
bin1000110001100001…
…1101001101100000
320002010202122022011
42030120131031200
514310414040334
61025412322304
7112236023350
oct21430351540
96063678264
102355221344
11aa9508723
12558913394
132b6c3acc8
14184b24b60
15dbb7d564
hex8c61d360

2355221344 has 96 divisors (see below), whose sum is σ = 5855141376. Its totient is φ = 908666880.

The previous prime is 2355221333. The next prime is 2355221353. The reversal of 2355221344 is 4431225532.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 74139 + ... + 101029.

It is an arithmetic number, because the mean of its divisors is an integer number (60991056).

Almost surely, 22355221344 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 2355221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927570688).

2355221344 is an abundant number, since it is smaller than the sum of its proper divisors (3499920032).

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

2355221344 is a wasteful number, since it uses less digits than its factorization.

2355221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26948 (or 26940 counting only the distinct ones).

The product of its digits is 28800, while the sum is 31.

The square root of 2355221344 is about 48530.6227448196. The cubic root of 2355221344 is about 1330.4868182273.

Adding to 2355221344 its reverse (4431225532), we get a palindrome (6786446876).

The spelling of 2355221344 in words is "two billion, three hundred fifty-five million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 68 92 112 119 136 161 184 224 238 272 322 368 391 476 544 644 736 782 952 1288 1564 1904 2576 2737 3128 3808 5152 5474 6256 10948 12512 21896 26891 43792 53782 87584 107564 188237 215128 376474 430256 457147 618493 752948 860512 914294 1236986 1505896 1828588 2473972 3011792 3200029 3657176 4329451 4947944 6023584 6400058 7314352 8658902 9895888 10514381 12800116 14628704 17317804 19791776 21028762 25600232 34635608 42057524 51200464 69271216 73600667 84115048 102400928 138542432 147201334 168230096 294402668 336460192 588805336 1177610672 2355221344