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1140211220 = 2254310113127
BaseRepresentation
bin100001111110110…
…0011111000010100
32221110111201202012
41003331203320110
54313343224340
6305050403352
740153430651
oct10375437024
92843451665
101140211220
1153568a625
12279a30558
131522bc6c5
14ab608c28
156a17a565
hex43f63e14

1140211220 has 48 divisors (see below), whose sum is σ = 2474575488. Its totient is φ = 441033600.

The previous prime is 1140211213. The next prime is 1140211231. The reversal of 1140211220 is 221120411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1140211195 and 1140211204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80297 + ... + 93423.

It is an arithmetic number, because the mean of its divisors is an integer number (51553656).

Almost surely, 21140211220 is an apocalyptic number.

1140211220 is a gapful number since it is divisible by the number (10) 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 1140211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237287744).

1140211220 is an abundant number, since it is smaller than the sum of its proper divisors (1334364268).

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

1140211220 is a wasteful number, since it uses less digits than its factorization.

1140211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13280 (or 13278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1140211220 is about 33767.0137856459. The cubic root of 1140211220 is about 1044.7084402914.

Adding to 1140211220 its reverse (221120411), we get a palindrome (1361331631).

It can be divided in two parts, 11402 and 11220, that added together give a palindrome (22622).

The spelling of 1140211220 in words is "one billion, one hundred forty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 101 172 202 215 404 430 505 860 1010 2020 4343 8686 13127 17372 21715 26254 43430 52508 65635 86860 131270 262540 564461 1128922 1325827 2257844 2651654 2822305 5303308 5644610 6629135 11289220 13258270 26516540 57010561 114021122 228042244 285052805 570105610 1140211220