Search a number
-
+
19558022500 = 225427972
BaseRepresentation
bin10010001101101111…
…111011110101100100
31212111000212111002201
4102031233323311210
5310023323210000
612552420144244
71261444306522
oct221557736544
955430774081
1019558022500
118326aa2865
123959b38084
131ac8c596a3
14d37715312
1579706496a
hex48dbfbd64

19558022500 has 45 divisors (see below), whose sum is σ = 42784780269. Its totient is φ = 7820412000.

The previous prime is 19558022483. The next prime is 19558022509. The reversal of 19558022500 is 522085591.

The square root of 19558022500 is 139850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 10447701796 + 9110320704 = 102214^2 + 95448^2 .

It is a super-2 number, since 2×195580225002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19558022500.

It is not an unprimeable number, because it can be changed into a prime (19558022509) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6991102 + ... + 6993898.

Almost surely, 219558022500 is an apocalyptic number.

19558022500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19558022500 is the 139850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19558022500

19558022500 is an abundant number, since it is smaller than the sum of its proper divisors (23226757769).

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

19558022500 is an frugal number, since it uses more digits than its factorization.

19558022500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The spelling of 19558022500 in words is "nineteen billion, five hundred fifty-eight million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 2797 5594 11188 13985 27970 55940 69925 139850 279700 349625 699250 1398500 1748125 3496250 6992500 7823209 15646418 31292836 39116045 78232090 156464180 195580225 391160450 782320900 977901125 1955802250 3911604500 4889505625 9779011250 19558022500