Search a number
-
+
1223314200 = 2332525312823
BaseRepresentation
bin100100011101010…
…0100101100011000
310011020212210121100
41020322210230120
510001132023300
6321215511400
742212666463
oct11072445430
93136783540
101223314200
11578590079
122a1828560
13166598274
14b867c2da
15725e3700
hex48ea4b18

1223314200 has 144 divisors (see below), whose sum is σ = 4186138320. Its totient is φ = 320037120.

The previous prime is 1223314199. The next prime is 1223314231. The reversal of 1223314200 is 24133221.

1223314200 is a `hidden beast` number, since 12 + 233 + 1 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 88989 + ... + 101811.

It is an arithmetic number, because the mean of its divisors is an integer number (29070405).

Almost surely, 21223314200 is an apocalyptic number.

1223314200 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 1223314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093069160).

1223314200 is an abundant number, since it is smaller than the sum of its proper divisors (2962824120).

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

1223314200 is a wasteful number, since it uses less digits than its factorization.

1223314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12898 (or 12886 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1223314200 is about 34975.9088516653. The cubic root of 1223314200 is about 1069.4964294189.

Adding to 1223314200 its reverse (24133221), we get a palindrome (1247447421).

The spelling of 1223314200 in words is "one billion, two hundred twenty-three million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 53 60 72 75 90 100 106 120 150 159 180 200 212 225 265 300 318 360 424 450 477 530 600 636 795 900 954 1060 1272 1325 1590 1800 1908 2120 2385 2650 3180 3816 3975 4770 5300 6360 7950 9540 10600 11925 12823 15900 19080 23850 25646 31800 38469 47700 51292 64115 76938 95400 102584 115407 128230 153876 192345 230814 256460 307752 320575 384690 461628 512920 577035 641150 679619 769380 923256 961725 1154070 1282300 1359238 1538760 1923450 2038857 2308140 2564600 2718476 2885175 3398095 3846900 4077714 4616280 5436952 5770350 6116571 6796190 7693800 8155428 10194285 11540700 12233142 13592380 16310856 16990475 20388570 23081400 24466284 27184760 30582855 33980950 40777140 48932568 50971425 61165710 67961900 81554280 101942850 122331420 135923800 152914275 203885700 244662840 305828550 407771400 611657100 1223314200