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2052164500 = 22534219749
BaseRepresentation
bin111101001010001…
…1000101110010100
312022000111202110121
41322110120232110
513200323231000
6535345001324
7101566052611
oct17224305624
95260452417
102052164500
11963436621
12493323244
1326920ca29
14156797508
15c0268b1a
hex7a518b94

2052164500 has 48 divisors (see below), whose sum is σ = 4493034000. Its totient is φ = 818832000.

The previous prime is 2052164479. The next prime is 2052164519. The reversal of 2052164500 is 54612502.

It can be written as a sum of positive squares in 8 ways, for example, as 1727732356 + 324432144 = 41566^2 + 18012^2 .

It is a super-3 number, since 3×20521645003 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205626 + ... + 215374.

It is an arithmetic number, because the mean of its divisors is an integer number (93604875).

Almost surely, 22052164500 is an apocalyptic number.

2052164500 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 2052164500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246517000).

2052164500 is an abundant number, since it is smaller than the sum of its proper divisors (2440869500).

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

2052164500 is a wasteful number, since it uses less digits than its factorization.

2052164500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2052164500 is about 45300.8222883426. The cubic root of 2052164500 is about 1270.7810311420.

It can be divided in two parts, 20 and 52164500, that multiplied together give a square (1043290000 = 323002).

The spelling of 2052164500 in words is "two billion, fifty-two million, one hundred sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 421 500 842 1684 2105 4210 8420 9749 10525 19498 21050 38996 42100 48745 52625 97490 105250 194980 210500 243725 487450 974900 1218625 2437250 4104329 4874500 8208658 16417316 20521645 41043290 82086580 102608225 205216450 410432900 513041125 1026082250 2052164500