Search a number
-
+
5022556900 = 22521923732
BaseRepresentation
bin1001010110101111…
…00010001011100100
3110222000211022210221
410223113202023210
540241233310100
62150214454124
7235315013014
oct45327421344
913860738727
105022556900
112148114379
12b82064344
13620728a7a
14359093c44
151e5e1001a
hex12b5e22e4

5022556900 has 81 divisors (see below), whose sum is σ = 11533689531. Its totient is φ = 1898182080.

The previous prime is 5022556871. The next prime is 5022556909. The reversal of 5022556900 is 96552205.

The square root of 5022556900 is 70870.

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

It can be written as a sum of positive squares in 4 ways, for example, as 48358116 + 4974198784 = 6954^2 + 70528^2 .

It is a super-2 number, since 2×50225569002 = 50452155627475220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5022556909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13465114 + ... + 13465486.

Almost surely, 25022556900 is an apocalyptic number.

5022556900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5022556900 is the 70870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5022556900

5022556900 is an abundant number, since it is smaller than the sum of its proper divisors (6511132631).

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

5022556900 is a wasteful number, since it uses less digits than its factorization.

5022556900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The cubic root of 5022556900 is about 1712.5435398382.

The spelling of 5022556900 in words is "five billion, twenty-two million, five hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 373 380 475 722 746 950 1444 1492 1805 1865 1900 3610 3730 7087 7220 7460 9025 9325 14174 18050 18650 28348 35435 36100 37300 70870 134653 139129 141740 177175 269306 278258 354350 538612 556516 673265 695645 708700 1346530 1391290 2643451 2693060 2782580 3366325 3478225 5286902 6732650 6956450 10573804 13217255 13465300 13912900 26434510 50225569 52869020 66086275 100451138 132172550 200902276 251127845 264345100 502255690 1004511380 1255639225 2511278450 5022556900