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2002425000 = 2335526699
BaseRepresentation
bin111011101011010…
…1001010010101000
312011112220201200220
41313112221102220
513100110100000
6530410530040
7100423221522
oct16726512250
95145821626
102002425000
119383535a4
1247a736920
1325bb16084
1414dd2aa12
15babe11a0
hex775a94a8

2002425000 has 96 divisors (see below), whose sum is σ = 6257412000. Its totient is φ = 533960000.

The previous prime is 2002424969. The next prime is 2002425077. The reversal of 2002425000 is 5242002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61651 + ... + 88349.

It is an arithmetic number, because the mean of its divisors is an integer number (65181375).

Almost surely, 22002425000 is an apocalyptic number.

2002425000 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 2002425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128706000).

2002425000 is an abundant number, since it is smaller than the sum of its proper divisors (4254987000).

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

2002425000 is an equidigital number, since it uses as much as digits as its factorization.

2002425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26733 (or 26709 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2002425000 is about 44748.4636607783. The cubic root of 2002425000 is about 1260.4300623154.

Adding to 2002425000 its reverse (5242002), we get a palindrome (2007667002).

The spelling of 2002425000 in words is "two billion, two million, four hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3125 3750 5000 6250 7500 9375 12500 15000 18750 25000 26699 37500 53398 75000 80097 106796 133495 160194 213592 266990 320388 400485 533980 640776 667475 800970 1067960 1334950 1601940 2002425 2669900 3203880 3337375 4004850 5339800 6674750 8009700 10012125 13349500 16019400 16686875 20024250 26699000 33373750 40048500 50060625 66747500 80097000 83434375 100121250 133495000 166868750 200242500 250303125 333737500 400485000 500606250 667475000 1001212500 2002425000