Search a number
-
+
2145430452 = 2231141596719
BaseRepresentation
bin111111111100000…
…1010101110110100
312112112000011022010
41333320022232310
513343212233302
6552520004220
7104110600164
oct17770125664
95475004263
102145430452
11a01048720
124ba600670
13282636399
14164d145a4
15c853d16c
hex7fe0abb4

2145430452 has 96 divisors (see below), whose sum is σ = 5689958400. Its totient is φ = 623430400.

The previous prime is 2145430439. The next prime is 2145430477. The reversal of 2145430452 is 2540345412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315949 + ... + 322667.

It is an arithmetic number, because the mean of its divisors is an integer number (59270400).

Almost surely, 22145430452 is an apocalyptic number.

2145430452 is a gapful number since it is divisible by the number (22) 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 2145430452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844979200).

2145430452 is an abundant number, since it is smaller than the sum of its proper divisors (3544527948).

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

2145430452 is a wasteful number, since it uses less digits than its factorization.

2145430452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837 (or 6835 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2145430452 is about 46318.7915645475. The cubic root of 2145430452 is about 1289.7478528872.

Adding to 2145430452 its reverse (2540345412), we get a palindrome (4685775864).

The spelling of 2145430452 in words is "two billion, one hundred forty-five million, four hundred thirty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 59 66 82 118 123 132 164 177 236 246 354 451 492 649 708 902 1298 1353 1804 1947 2419 2596 2706 3894 4838 5412 6719 7257 7788 9676 13438 14514 20157 26609 26876 29028 40314 53218 73909 79827 80628 106436 147818 159654 221727 275479 295636 319308 396421 443454 550958 792842 826437 886908 1101916 1189263 1585684 1652874 2378526 3030269 3305748 4360631 4757052 6060538 8721262 9090807 12121076 13081893 16253261 17442524 18181614 26163786 32506522 36363228 48759783 52327572 65013044 97519566 178785871 195039132 357571742 536357613 715143484 1072715226 2145430452