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2220140340 = 2236511109127
BaseRepresentation
bin1000010001010100…
…1010011100110100
312201201120211000000
42010111022130310
514021323442330
61004145151300
7106005611235
oct20425123464
95651524000
102220140340
11a3a236330
1251b62b530
13294c63912
14170c0108c
15ced99560
hex8454a734

2220140340 has 336 divisors, whose sum is σ = 7756277760. Its totient is φ = 529079040.

The previous prime is 2220140339. The next prime is 2220140369. The reversal of 2220140340 is 430410222.

2220140340 is a `hidden beast` number, since 2 + 220 + 1 + 403 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17481357 + ... + 17481483.

It is an arithmetic number, because the mean of its divisors is an integer number (23084160).

Almost surely, 22220140340 is an apocalyptic number.

2220140340 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 2220140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878138880).

2220140340 is an abundant number, since it is smaller than the sum of its proper divisors (5536137420).

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

2220140340 is a wasteful number, since it uses less digits than its factorization.

2220140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2220140340 is about 47118.3652093321. The cubic root of 2220140340 is about 1304.5482383965.

Adding to 2220140340 its reverse (430410222), we get a palindrome (2650550562).

The spelling of 2220140340 in words is "two billion, two hundred twenty million, one hundred forty thousand, three hundred forty".