Search a number
-
+
2232004140 = 2233529142529
BaseRepresentation
bin1000010100001001…
…1010111000101100
312202112220120002000
42011002122320230
514032343113030
61005251332300
7106211502462
oct20502327054
95675816060
102232004140
11a459a9823
125235b1090
13297558912
1417260c832
15d0e3e860
hex8509ae2c

2232004140 has 96 divisors (see below), whose sum is σ = 7183512000. Its totient is φ = 574672896.

The previous prime is 2232004109. The next prime is 2232004141. The reversal of 2232004140 is 414002322.

It is a super-3 number, since 3×22320041403 (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2232004141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 55605 + ... + 86924.

It is an arithmetic number, because the mean of its divisors is an integer number (74828250).

Almost surely, 22232004140 is an apocalyptic number.

2232004140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232004140 is an abundant number, since it is smaller than the sum of its proper divisors (4951507860).

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

2232004140 is a wasteful number, since it uses less digits than its factorization.

2232004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142576 (or 142568 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2232004140 is about 47244.0910590944. The cubic root of 2232004140 is about 1306.8678234262.

Adding to 2232004140 its reverse (414002322), we get a palindrome (2646006462).

The spelling of 2232004140 in words is "two billion, two hundred thirty-two million, four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 142529 285058 427587 570116 712645 855174 1282761 1425290 1710348 2137935 2565522 2850580 3848283 4133341 4275870 5131044 6413805 7696566 8266682 8551740 12400023 12827610 15393132 16533364 19241415 20666705 24800046 25655220 37200069 38482830 41333410 49600092 62000115 74400138 76965660 82666820 111600207 124000230 148800276 186000345 223200414 248000460 372000690 446400828 558001035 744001380 1116002070 2232004140