Search a number
-
+
1222636480 = 26513833541
BaseRepresentation
bin100100011011111…
…1111001111000000
310011012121100221121
41020313333033000
510000443331410
6321153202024
742204144562
oct11067771700
93135540847
101222636480
1157816797a
122a1560314
131663bb950
14b8543332
157250c9da
hex48dff3c0

1222636480 has 112 divisors (see below), whose sum is σ = 3174028704. Its totient is φ = 445870080.

The previous prime is 1222636439. The next prime is 1222636517. The reversal of 1222636480 is 846362221.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343510 + ... + 347050.

It is an arithmetic number, because the mean of its divisors is an integer number (28339542).

Almost surely, 21222636480 is an apocalyptic number.

1222636480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587014352).

1222636480 is an abundant number, since it is smaller than the sum of its proper divisors (1951392224).

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

1222636480 is a wasteful number, since it uses less digits than its factorization.

1222636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 1222636480 is about 34966.2191264655. The cubic root of 1222636480 is about 1069.2988914487.

The spelling of 1222636480 in words is "one billion, two hundred twenty-two million, six hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 83 104 130 160 166 208 260 320 332 415 416 520 664 830 832 1040 1079 1328 1660 2080 2158 2656 3320 3541 4160 4316 5312 5395 6640 7082 8632 10790 13280 14164 17264 17705 21580 26560 28328 34528 35410 43160 46033 56656 69056 70820 86320 92066 113312 141640 172640 184132 226624 230165 283280 293903 345280 368264 460330 566560 587806 736528 920660 1133120 1175612 1469515 1473056 1841320 2351224 2939030 2946112 3682640 3820739 4702448 5878060 7365280 7641478 9404896 11756120 14730560 15282956 18809792 19103695 23512240 30565912 38207390 47024480 61131824 76414780 94048960 122263648 152829560 244527296 305659120 611318240 1222636480