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2001250000 = 24571601
BaseRepresentation
bin111011101001000…
…1010011011010000
312011110201000220101
41313102022123100
513044310000000
6530325422144
7100410226051
oct16722123320
95143630811
102001250000
11937720822
1247a26a954
1325b7c42c9
1414db02728
15baa5ce6a
hex7748a6d0

2001250000 has 80 divisors (see below), whose sum is σ = 4849792272. Its totient is φ = 800000000.

The previous prime is 2001249983. The next prime is 2001250019. The reversal of 2001250000 is 521002.

It can be written as a sum of positive squares in 8 ways, for example, as 1968164496 + 33085504 = 44364^2 + 5752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249200 + ... + 1250800.

Almost surely, 22001250000 is an apocalyptic number.

2001250000 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 2001250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424896136).

2001250000 is an abundant number, since it is smaller than the sum of its proper divisors (2848542272).

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

2001250000 is an frugal number, since it uses more digits than its factorization.

2001250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2001250000 is about 44735.3327918772. The cubic root of 2001250000 is about 1260.1834787818.

Adding to 2001250000 its reverse (521002), we get a palindrome (2001771002).

The spelling of 2001250000 in words is "two billion, one million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1601 2000 2500 3125 3202 5000 6250 6404 8005 10000 12500 12808 15625 16010 25000 25616 31250 32020 40025 50000 62500 64040 78125 80050 125000 128080 156250 160100 200125 250000 312500 320200 400250 625000 640400 800500 1000625 1250000 1601000 2001250 3202000 4002500 5003125 8005000 10006250 16010000 20012500 25015625 40025000 50031250 80050000 100062500 125078125 200125000 250156250 400250000 500312500 1000625000 2001250000