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2000220480 = 2635529887
BaseRepresentation
bin111011100111000…
…1111000101000000
312011101202201200000
41313032033011000
513044024023410
6530251400000
7100365410406
oct16716170500
95141681600
102000220480
11937088285
12479a53000
1325b52381b
1414d915476
15ba907dc0
hex7738f140

2000220480 has 336 divisors, whose sum is σ = 7389083520. Its totient is φ = 514418688.

The previous prime is 2000220473. The next prime is 2000220487. The reversal of 2000220480 is 840220002.

It is an interprime number because it is at equal distance from previous prime (2000220473) and next prime (2000220487).

It is a super-2 number, since 2×20002204802 = 8001763937222860800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000220487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2254597 + ... + 2255483.

It is an arithmetic number, because the mean of its divisors is an integer number (21991320).

Almost surely, 22000220480 is an apocalyptic number.

2000220480 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 2000220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694541760).

2000220480 is an abundant number, since it is smaller than the sum of its proper divisors (5388863040).

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

2000220480 is an equidigital number, since it uses as much as digits as its factorization.

2000220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2000220480 is about 44723.8245234014. The cubic root of 2000220480 is about 1259.9673460925.

Adding to 2000220480 its reverse (840220002), we get a palindrome (2840440482).

The spelling of 2000220480 in words is "two billion, two hundred twenty thousand, four hundred eighty".