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2220888000 = 26353374161
BaseRepresentation
bin1000010001100000…
…0000111111000000
312201202222210121010
42010120000333000
514022021404000
61004213200520
7106015144062
oct20430007700
95652883533
102220888000
11a3a6a7031
1251b930140
13295166016
14170d57732
15cee95d50
hex84600fc0

2220888000 has 448 divisors, whose sum is σ = 7841748096. Its totient is φ = 552960000.

The previous prime is 2220887987. The next prime is 2220888011. The reversal of 2220888000 is 8880222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36407970 + ... + 36408030.

It is an arithmetic number, because the mean of its divisors is an integer number (17503902).

Almost surely, 22220888000 is an apocalyptic number.

2220888000 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 2220888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920874048).

2220888000 is an abundant number, since it is smaller than the sum of its proper divisors (5620860096).

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

2220888000 is a wasteful number, since it uses less digits than its factorization.

2220888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2220888000 is about 47126.2983906014. The cubic root of 2220888000 is about 1304.6946629341.

It can be divided in two parts, 2220 and 888000, that multiplied together give a square (1971360000 = 444002).

The spelling of 2220888000 in words is "two billion, two hundred twenty million, eight hundred eighty-eight thousand".