Search a number
-
+
2333030140 = 22572191071171
BaseRepresentation
bin1000101100001111…
…0011011011111100
320000121000012200201
42023003303123330
514234223431030
61023300533244
7111546300100
oct21303633374
96017005621
102333030140
11a97a31091
125513b1224
132b246b40c
14181bc9900
15d9c482ca
hex8b0f36fc

2333030140 has 144 divisors (see below), whose sum is σ = 6060458880. Its totient is φ = 750072960.

The previous prime is 2333030123. The next prime is 2333030171. The reversal of 2333030140 is 410303332.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1991755 + ... + 1992925.

It is an arithmetic number, because the mean of its divisors is an integer number (42086520).

Almost surely, 22333030140 is an apocalyptic number.

2333030140 is a gapful number since it is divisible by the number (20) 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 2333030140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030229440).

2333030140 is an abundant number, since it is smaller than the sum of its proper divisors (3727428740).

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

2333030140 is a wasteful number, since it uses less digits than its factorization.

2333030140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 2333030140 is about 48301.4507028516. The cubic root of 2333030140 is about 1326.2949513999.

Adding to 2333030140 its reverse (410303332), we get a palindrome (2743333472).

The spelling of 2333030140 in words is "two billion, three hundred thirty-three million, thirty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 107 133 140 190 196 214 245 266 380 428 490 532 535 665 749 931 980 1070 1171 1330 1498 1862 2033 2140 2342 2660 2996 3724 3745 4066 4655 4684 5243 5855 7490 8132 8197 9310 10165 10486 11710 14231 14980 16394 18620 20330 20972 22249 23420 26215 28462 32788 40660 40985 44498 52430 56924 57379 71155 81970 88996 99617 104860 111245 114758 125297 142310 155743 163940 199234 222490 229516 250594 284620 286895 311486 398468 444980 498085 501188 573790 622972 626485 778715 877079 996170 1090201 1147580 1252970 1557430 1754158 1992340 2180402 2380643 2505940 3114860 3508316 4360804 4385395 4761286 5451005 6139553 8770790 9522572 10902010 11903215 12279106 16664501 17541580 21804020 23806430 24558212 30697765 33329002 47612860 61395530 66658004 83322505 116651507 122791060 166645010 233303014 333290020 466606028 583257535 1166515070 2333030140