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2054534200 = 2352137167449
BaseRepresentation
bin111101001110101…
…1011010000111000
312022011222011002021
41322131123100320
513201430043300
6535511444224
7101625152425
oct17235332070
95264864067
102054534200
11964804a54
12494086674
1326985c514
14156c12d4c
15c0585d1a
hex7a75b438

2054534200 has 96 divisors (see below), whose sum is σ = 4851252000. Its totient is φ = 809123840.

The previous prime is 2054534189. The next prime is 2054534213. The reversal of 2054534200 is 24354502.

It is a super-2 number, since 2×20545342002 = 8442221557939280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 4575576 + ... + 4576024.

It is an arithmetic number, because the mean of its divisors is an integer number (50533875).

Almost surely, 22054534200 is an apocalyptic number.

2054534200 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 2054534200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425626000).

2054534200 is an abundant number, since it is smaller than the sum of its proper divisors (2796717800).

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

2054534200 is a wasteful number, since it uses less digits than its factorization.

2054534200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2054534200 is about 45326.9698965197. The cubic root of 2054534200 is about 1271.2699801589.

Adding to 2054534200 its reverse (24354502), we get a palindrome (2078888702).

It can be divided in two parts, 20545 and 34200, that added together give a palindrome (54745).

The spelling of 2054534200 in words is "two billion, fifty-four million, five hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 167 200 274 334 449 548 668 685 835 898 1096 1336 1370 1670 1796 2245 2740 3340 3425 3592 4175 4490 5480 6680 6850 8350 8980 11225 13700 16700 17960 22450 22879 27400 33400 44900 45758 61513 74983 89800 91516 114395 123026 149966 183032 228790 246052 299932 307565 374915 457580 492104 571975 599864 615130 749830 915160 1143950 1230260 1499660 1537825 1874575 2287900 2460520 2999320 3075650 3749150 4575800 6151300 7498300 10272671 12302600 14996600 20545342 41090684 51363355 82181368 102726710 205453420 256816775 410906840 513633550 1027267100 2054534200