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2025002500 = 22542413361
BaseRepresentation
bin111100010110011…
…0001011000000100
312020010101210012121
41320230301120010
513121400040000
6532534455324
7101116144243
oct17054613004
95203353177
102025002500
1194a074394
12486204544
132636bc741
14152d2695a
15bcba0b1a
hex78b31604

2025002500 has 60 divisors (see below), whose sum is σ = 4447973068. Its totient is φ = 806400000.

The previous prime is 2025002471. The next prime is 2025002519. The reversal of 2025002500 is 52005202.

It can be written as a sum of positive squares in 10 ways, for example, as 1054430784 + 970571716 = 32472^2 + 31154^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 600820 + ... + 604180.

Almost surely, 22025002500 is an apocalyptic number.

2025002500 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 2025002500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223986534).

2025002500 is an abundant number, since it is smaller than the sum of its proper divisors (2422970568).

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

2025002500 is a wasteful number, since it uses less digits than its factorization.

2025002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2025002500 is about 45000.0277777692. The cubic root of 2025002500 is about 1265.1495185899.

Adding to 2025002500 its reverse (52005202), we get a palindrome (2077007702).

It can be divided in two parts, 202500 and 2500, that multiplied together give a 4-th power (506250000 = 1504).

The spelling of 2025002500 in words is "two billion, twenty-five million, two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 241 250 482 500 625 964 1205 1250 2410 2500 3361 4820 6025 6722 12050 13444 16805 24100 30125 33610 60250 67220 84025 120500 150625 168050 301250 336100 420125 602500 810001 840250 1620002 1680500 2100625 3240004 4050005 4201250 8100010 8402500 16200020 20250025 40500050 81000100 101250125 202500250 405000500 506250625 1012501250 2025002500