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1224133140 = 2235192346687
BaseRepresentation
bin100100011110110…
…1100101000010100
310011022102101222110
41020331230220110
510001334230030
6321245231020
742222650166
oct11075545024
93138371873
101224133140
11578a9a38a
122a1b62470
131667c3c49
14b8812936
15727061b0
hex48f6ca14

1224133140 has 96 divisors (see below), whose sum is σ = 3764920320. Its totient is φ = 295802496.

The previous prime is 1224133129. The next prime is 1224133151. The reversal of 1224133140 is 413314221.

It is an interprime number because it is at equal distance from previous prime (1224133129) and next prime (1224133151).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2877 + ... + 49563.

It is an arithmetic number, because the mean of its divisors is an integer number (39217920).

Almost surely, 21224133140 is an apocalyptic number.

1224133140 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 1224133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882460160).

1224133140 is an abundant number, since it is smaller than the sum of its proper divisors (2540787180).

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

1224133140 is a wasteful number, since it uses less digits than its factorization.

1224133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46741 (or 46739 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1224133140 is about 34987.6140941334. The cubic root of 1224133140 is about 1069.7350320700.

Adding to 1224133140 its reverse (413314221), we get a palindrome (1637447361).

The spelling of 1224133140 in words is "one billion, two hundred twenty-four million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 4370 5244 6555 8740 13110 26220 46687 93374 140061 186748 233435 280122 466870 560244 700305 887053 933740 1073801 1400610 1774106 2147602 2661159 2801220 3221403 3548212 4295204 4435265 5322318 5369005 6442806 8870530 10644636 10738010 12885612 13305795 16107015 17741060 20402219 21476020 26611590 32214030 40804438 53223180 61206657 64428060 81608876 102011095 122413314 204022190 244826628 306033285 408044380 612066570 1224133140