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2211404140 = 2251112238219
BaseRepresentation
bin1000001111001111…
…0101100101101100
312201010010222012001
42003303311211230
514012104413030
61003234022044
7105541424251
oct20363654554
95633128161
102211404140
11a35309730
12518717924
132931c537a
1416d9a9428
15ce220cca
hex83cf596c

2211404140 has 48 divisors (see below), whose sum is σ = 5070885120. Its totient is φ = 803391680.

The previous prime is 2211404131. The next prime is 2211404201. The reversal of 2211404140 is 414041122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264951 + ... + 273169.

It is an arithmetic number, because the mean of its divisors is an integer number (105643440).

Almost surely, 22211404140 is an apocalyptic number.

2211404140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211404140 is an abundant number, since it is smaller than the sum of its proper divisors (2859480980).

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

2211404140 is a wasteful number, since it uses less digits than its factorization.

2211404140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9462 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2211404140 is about 47025.5690024055. The cubic root of 2211404140 is about 1302.8348668608.

Adding to 2211404140 its reverse (414041122), we get a palindrome (2625445262).

It can be divided in two parts, 2211 and 404140, that added together give a triangular number (406351 = T901).

The spelling of 2211404140 in words is "two billion, two hundred eleven million, four hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1223 2446 4892 6115 8219 12230 13453 16438 24460 26906 32876 41095 53812 67265 82190 90409 134530 164380 180818 269060 361636 452045 904090 1808180 10051837 20103674 40207348 50259185 100518370 110570207 201036740 221140414 442280828 552851035 1105702070 2211404140