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2027220480 = 29335139211
BaseRepresentation
bin111100011010100…
…1110111000000000
312020021120110201000
41320311032320000
513122432023410
6533054212000
7101144042535
oct17065167000
95207513630
102027220480
1195034982a
12486ab4000
13263cb815c
14153342d8c
15bce8cdc0
hex78d4ee00

2027220480 has 320 divisors, whose sum is σ = 7287033600. Its totient is φ = 534159360.

The previous prime is 2027220473. The next prime is 2027220493. The reversal of 2027220480 is 840227202.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×20272204803 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9607575 + ... + 9607785.

It is an arithmetic number, because the mean of its divisors is an integer number (22771980).

Almost surely, 22027220480 is an apocalyptic number.

2027220480 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 2027220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643516800).

2027220480 is an abundant number, since it is smaller than the sum of its proper divisors (5259813120).

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

2027220480 is a wasteful number, since it uses less digits than its factorization.

2027220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2027220480 is about 45024.6652402880. The cubic root of 2027220480 is about 1265.6112550496.

Adding to 2027220480 its reverse (840227202), we get a palindrome (2867447682).

The spelling of 2027220480 in words is "two billion, twenty-seven million, two hundred twenty thousand, four hundred eighty".