Search a number
-
+
2180424150 = 233522370223
BaseRepresentation
bin1000000111110110…
…1010000111010110
312121221212000122000
42001331222013112
513431142033100
61000210020130
7105014204502
oct20175520726
95557760560
102180424150
11a19879a33
1250a277646
13289969308
14169823302
15cb651900
hex81f6a1d6

2180424150 has 96 divisors (see below), whose sum is σ = 6269598720. Its totient is φ = 556158240.

The previous prime is 2180424149. The next prime is 2180424151. The reversal of 2180424150 is 514240812.

2180424150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2180424149) and next prime (2180424151).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180424151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4062 + ... + 66161.

It is an arithmetic number, because the mean of its divisors is an integer number (65308320).

Almost surely, 22180424150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180424150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134799360).

2180424150 is an abundant number, since it is smaller than the sum of its proper divisors (4089174570).

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

2180424150 is a wasteful number, since it uses less digits than its factorization.

2180424150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70267 (or 70256 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2180424150 is about 46695.0120462561. The cubic root of 2180424150 is about 1296.7223446580.

Adding to 2180424150 its reverse (514240812), we get a palindrome (2694664962).

It can be divided in two parts, 21804 and 24150, that added together give a palindrome (45954).

The spelling of 2180424150 in words is "two billion, one hundred eighty million, four hundred twenty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 135 138 150 207 225 230 270 345 414 450 575 621 675 690 1035 1150 1242 1350 1725 2070 3105 3450 5175 6210 10350 15525 31050 70223 140446 210669 351115 421338 632007 702230 1053345 1264014 1615129 1755575 1896021 2106690 3160035 3230258 3511150 3792042 4845387 5266725 6320070 8075645 9480105 9690774 10533450 14536161 15800175 16151290 18960210 24226935 29072322 31600350 40378225 43608483 47400525 48453870 72680805 80756450 87216966 94801050 121134675 145361610 218042415 242269350 363404025 436084830 726808050 1090212075 2180424150