Search a number
-
+
1225123320 = 2335432331019
BaseRepresentation
bin100100100000101…
…1110010111111000
310011101021201020210
41021001132113320
510002112421240
6321322351120
742234243051
oct11101362770
93141251223
101225123320
11579606313
122a235b4a0
13166a7c855
14b89cd728
157284e780
hex4905e5f8

1225123320 has 128 divisors (see below), whose sum is σ = 3780691200. Its totient is φ = 317420544.

The previous prime is 1225123307. The next prime is 1225123327. The reversal of 1225123320 is 233215221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225123327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201771 + ... + 1202789.

It is an arithmetic number, because the mean of its divisors is an integer number (29536650).

Almost surely, 21225123320 is an apocalyptic number.

1225123320 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 1225123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890345600).

1225123320 is an abundant number, since it is smaller than the sum of its proper divisors (2555567880).

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

1225123320 is a wasteful number, since it uses less digits than its factorization.

1225123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1225123320 is about 35001.7616699503. The cubic root of 1225123320 is about 1070.0233843552.

Adding to 1225123320 its reverse (233215221), we get a palindrome (1458338541).

The spelling of 1225123320 in words is "one billion, two hundred twenty-five million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 233 258 344 430 466 516 645 699 860 932 1019 1032 1165 1290 1398 1720 1864 2038 2330 2580 2796 3057 3495 4076 4660 5095 5160 5592 6114 6990 8152 9320 10019 10190 12228 13980 15285 20038 20380 24456 27960 30057 30570 40076 40760 43817 50095 60114 61140 80152 87634 100190 120228 122280 131451 150285 175268 200380 219085 237427 240456 262902 300570 350536 400760 438170 474854 525804 601140 657255 712281 876340 949708 1051608 1187135 1202280 1314510 1424562 1752680 1899416 2374270 2629020 2849124 3561405 4748540 5258040 5698248 7122810 9497080 10209361 14245620 20418722 28491240 30628083 40837444 51046805 61256166 81674888 102093610 122512332 153140415 204187220 245024664 306280830 408374440 612561660 1225123320