Search a number
-
+
2230040304 = 243231607823
BaseRepresentation
bin1000010011101011…
…1011011011110000
312202102012210012100
42010322323123300
514031342242204
61005141300400
7106156013142
oct20472733360
95672183170
102230040304
11a44888318
12522a04700
1329701ba9b
1417225ac92
15d0ba2a39
hex84ebb6f0

2230040304 has 120 divisors (see below), whose sum is σ = 6460792832. Its totient is φ = 717310080.

The previous prime is 2230040227. The next prime is 2230040311. The reversal of 2230040304 is 4030400322.

2230040304 is a `hidden beast` number, since 22 + 300 + 40 + 304 = 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709237 + ... + 2710059.

Almost surely, 22230040304 is an apocalyptic number.

2230040304 is a gapful number since it is divisible by the number (24) 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 2230040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230396416).

2230040304 is an abundant number, since it is smaller than the sum of its proper divisors (4230752528).

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

2230040304 is a wasteful number, since it uses less digits than its factorization.

2230040304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2230040304 is about 47223.3025528711. The cubic root of 2230040304 is about 1306.4844270116.

Adding to 2230040304 its reverse (4030400322), we get a palindrome (6260440626).

The spelling of 2230040304 in words is "two billion, two hundred thirty million, forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 607 744 823 1116 1214 1488 1646 1821 2232 2428 2469 3292 3642 4464 4856 4938 5463 6584 7284 7407 9712 9876 10926 13168 14568 14814 18817 19752 21852 25513 29136 29628 37634 39504 43704 51026 56451 59256 75268 76539 87408 102052 112902 118512 150536 153078 169353 204104 225804 229617 301072 306156 338706 408208 451608 459234 499561 612312 677412 903216 918468 999122 1224624 1354824 1498683 1836936 1998244 2709648 2997366 3673872 3996488 4496049 5994732 7992976 8992098 11989464 15486391 17984196 23978928 30972782 35968392 46459173 61945564 71936784 92918346 123891128 139377519 185836692 247782256 278755038 371673384 557510076 743346768 1115020152 2230040304