Search a number
-
+
1222436320 = 25572413803
BaseRepresentation
bin100100011011100…
…1110010111100000
310011012020012101021
41020313032113200
510000420430240
6321145015224
742202352200
oct11067162740
93135205337
101222436320
11578040556
122a1484514
1316634b801
14b84d0400
15724bd54a
hex48dce5e0

1222436320 has 144 divisors (see below), whose sum is σ = 3442361328. Its totient is φ = 408791040.

The previous prime is 1222436309. The next prime is 1222436321. The reversal of 1222436320 is 236342221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222436321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319539 + ... + 323341.

It is an arithmetic number, because the mean of its divisors is an integer number (23905287).

Almost surely, 21222436320 is an apocalyptic number.

1222436320 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 1222436320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721180664).

1222436320 is an abundant number, since it is smaller than the sum of its proper divisors (2219925008).

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

1222436320 is a wasteful number, since it uses less digits than its factorization.

1222436320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1222436320 is about 34963.3568182462. The cubic root of 1222436320 is about 1069.2405359875.

Adding to 1222436320 its reverse (236342221), we get a palindrome (1458778541).

The spelling of 1222436320 in words is "one billion, two hundred twenty-two million, four hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 70 80 82 98 112 140 160 164 196 205 224 245 280 287 328 392 410 490 560 574 656 784 820 980 1120 1148 1312 1435 1568 1640 1960 2009 2296 2870 3280 3803 3920 4018 4592 5740 6560 7606 7840 8036 9184 10045 11480 15212 16072 19015 20090 22960 26621 30424 32144 38030 40180 45920 53242 60848 64288 76060 80360 106484 121696 133105 152120 155923 160720 186347 212968 266210 304240 311846 321440 372694 425936 532420 608480 623692 745388 779615 851872 931735 1064840 1091461 1247384 1490776 1559230 1863470 2129680 2182922 2494768 2981552 3118460 3726940 4259360 4365844 4989536 5457305 5963104 6236920 7453880 7640227 8731688 10914610 12473840 14907760 15280454 17463376 21829220 24947680 29815520 30560908 34926752 38201135 43658440 61121816 76402270 87316880 122243632 152804540 174633760 244487264 305609080 611218160 1222436320