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2025900100 = 2252726432
BaseRepresentation
bin111100011000000…
…1100100001000100
312020012002101111001
41320300030201010
513122112300400
6533010023044
7101126603200
oct17060144104
95205071431
102025900100
1194a627804
12486577a84
13263945173
141530bbb00
15bcccba6a
hex78c0c844

2025900100 has 81 divisors (see below), whose sum is σ = 5121916317. Its totient is φ = 693514080.

The previous prime is 2025900089. The next prime is 2025900103. The reversal of 2025900100 is 10095202.

The square root of 2025900100 is 45010.

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

It can be written as a sum of positive squares in only one way, i.e., 729324036 + 1296576064 = 27006^2 + 36008^2 .

It is not an unprimeable number, because it can be changed into a prime (2025900103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3150379 + ... + 3151021.

Almost surely, 22025900100 is an apocalyptic number.

2025900100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2025900100 is the 45010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025900100

2025900100 is an abundant number, since it is smaller than the sum of its proper divisors (3096016217).

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

2025900100 is an equidigital number, since it uses as much as digits as its factorization.

2025900100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The cubic root of 2025900100 is about 1265.3364204927.

Adding to 2025900100 its reverse (10095202), we get a palindrome (2035995302).

The spelling of 2025900100 in words is "two billion, twenty-five million, nine hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 643 700 980 1225 1286 2450 2572 3215 4501 4900 6430 9002 12860 16075 18004 22505 31507 32150 45010 63014 64300 90020 112525 126028 157535 225050 315070 413449 450100 630140 787675 826898 1575350 1653796 2067245 2894143 3150700 4134490 5788286 8268980 10336225 11576572 14470715 20259001 20672450 28941430 40518002 41344900 57882860 72353575 81036004 101295005 144707150 202590010 289414300 405180020 506475025 1012950050 2025900100