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2145021450 = 2352112139091
BaseRepresentation
bin111111111011010…
…0110111000001010
312112111020101020220
41333312212320022
513343111141300
6552503130510
7104104244565
oct17766467012
95474211226
102145021450
11a00899400
124ba443a36
13282522180
14164c494dc
15c84abda0
hex7fda6e0a

2145021450 has 144 divisors (see below), whose sum is σ = 6297701088. Its totient is φ = 479952000.

The previous prime is 2145021443. The next prime is 2145021457. The reversal of 2145021450 is 541205412.

It is an interprime number because it is at equal distance from previous prime (2145021443) and next prime (2145021457).

It is a super-2 number, since 2×21450214502 = 9202234041920205000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2145021450.

It is not an unprimeable number, because it can be changed into a prime (2145021457) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 231405 + ... + 240495.

Almost surely, 22145021450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145021450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148850544).

2145021450 is an abundant number, since it is smaller than the sum of its proper divisors (4152679638).

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

2145021450 is a wasteful number, since it uses less digits than its factorization.

2145021450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2145021450 is about 46314.3762777823. The cubic root of 2145021450 is about 1289.6658890749.

Adding to 2145021450 its reverse (541205412), we get a palindrome (2686226862).

The spelling of 2145021450 in words is "two billion, one hundred forty-five million, twenty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 121 130 143 150 165 195 242 275 286 325 330 363 390 429 550 605 650 715 726 825 858 975 1210 1430 1573 1650 1815 1950 2145 3025 3146 3575 3630 4290 4719 6050 7150 7865 9075 9091 9438 10725 15730 18150 18182 21450 23595 27273 39325 45455 47190 54546 78650 90910 100001 117975 118183 136365 200002 227275 235950 236366 272730 300003 354549 454550 500005 590915 600006 681825 709098 1000010 1100011 1181830 1300013 1363650 1500015 1772745 2200022 2500025 2600026 2954575 3000030 3300033 3545490 3900039 5000050 5500055 5909150 6500065 6600066 7500075 7800078 8863725 11000110 13000130 14300143 15000150 16500165 17727450 19500195 27500275 28600286 32500325 33000330 39000390 42900429 55000550 65000650 71500715 82500825 85800858 97500975 143001430 165001650 195001950 214502145 357503575 429004290 715007150 1072510725 2145021450