Search a number
-
+
2220025500625 = 5410725572
BaseRepresentation
bin100000010011100011110…
…101001101001111010001
321212020021101122100222211
4200103203311031033101
5242333103012010000
64415510551032121
7316251205254562
oct40234365151721
97766241570884
102220025500625
11786564578aa9
122ba30a06b641
131314696191aa
14796423b4169
153cb345587ba
hex204e3d4d3d1

2220025500625 has 45 divisors (see below), whose sum is σ = 2805349265719. Its totient is φ = 1756263332000.

The previous prime is 2220025500463. The next prime is 2220025500647. The reversal of 2220025500625 is 5260055200222.

The square root of 2220025500625 is 1489975.

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 2219387837121 + 637663504 = 1489761^2 + 25252^2 .

It is not a de Polignac number, because 2220025500625 - 241 = 21002245073 is a prime.

It is a super-3 number, since 3×22200255006253 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3985682847 + ... + 3985683403.

Almost surely, 22220025500625 is an apocalyptic number.

2220025500625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2220025500625 is the 1489975-th square number.

2220025500625 is the 744988-th centered octagonal number.

It is an amenable number.

2220025500625 is a deficient number, since it is larger than the sum of its proper divisors (585323765094).

2220025500625 is an frugal number, since it uses more digits than its factorization.

2220025500625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 2220025500625 in words is "two trillion, two hundred twenty billion, twenty-five million, five hundred thousand, six hundred twenty-five".

Divisors: 1 5 25 107 125 535 557 625 2675 2785 11449 13375 13925 57245 59599 66875 69625 286225 297995 310249 348125 1431125 1489975 1551245 6377093 7155625 7449875 7756225 31885465 33196643 37249375 38781125 159427325 165983215 193905625 797136625 829916075 3552040801 3985683125 4149580375 17760204005 20747901875 88801020025 444005100125 2220025500625