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2025090000 = 24325422501
BaseRepresentation
bin111100010110100…
…0110101111010000
312020010120020020100
41320231012233100
513121410340000
6532540412400
7101116660323
oct17055065720
95203506210
102025090000
1194a1240aa
12486247100
1326372050b
14152d4a7ba
15bcbbba00
hex78b46bd0

2025090000 has 150 divisors (see below), whose sum is σ = 7082346986. Its totient is φ = 540000000.

The previous prime is 2025089959. The next prime is 2025090019. The reversal of 2025090000 is 905202.

2025090000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 450012-1.

It can be written as a sum of positive squares in 5 ways, for example, as 166100544 + 1858989456 = 12888^2 + 43116^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78750 + ... + 101250.

Almost surely, 22025090000 is an apocalyptic number.

2025090000 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 2025090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541173493).

2025090000 is an abundant number, since it is smaller than the sum of its proper divisors (5057256986).

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

2025090000 is a wasteful number, since it uses less digits than its factorization.

2025090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22535 (or 22511 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2025090000 is about 45000.9999888891. Note that the first 4 decimals coincide. The cubic root of 2025090000 is about 1265.1677406231.

Adding to 2025090000 its reverse (905202), we get a palindrome (2025995202).

The spelling of 2025090000 in words is "two billion, twenty-five million, ninety thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 22501 30000 45000 45002 67503 90000 90004 112505 135006 180008 202509 225010 270012 337515 360016 405018 450020 540024 562525 675030 810036 900040 1012545 1080048 1125050 1350060 1620072 1687575 1800080 2025090 2250100 2700120 2812625 3240144 3375150 4050180 4500200 5062725 5400240 5625250 6750300 8100360 8437875 9000400 10125450 11250500 13500600 14063125 16200720 16875750 20250900 22501000 25313625 27001200 28126250 33751500 40501800 42189375 45002000 50627250 56252500 67503000 81003600 84378750 101254500 112505000 126568125 135006000 168757500 202509000 225010000 253136250 337515000 405018000 506272500 675030000 1012545000 2025090000