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1221441140 = 225292105933
BaseRepresentation
bin100100011001101…
…1011011001110100
310011010100122020202
41020303123121310
510000142104030
6321111420032
742161035613
oct11063333164
93133318222
101221441140
11577520897
122a1084618
1316609084a
14b831187a
1572373745
hex48cdb674

1221441140 has 24 divisors (see below), whose sum is σ = 2653476840. Its totient is φ = 471728768.

The previous prime is 1221441121. The next prime is 1221441149. The reversal of 1221441140 is 411441221.

It can be written as a sum of positive squares in 4 ways, for example, as 405539044 + 815902096 = 20138^2 + 28564^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221441149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1052387 + ... + 1053546.

It is an arithmetic number, because the mean of its divisors is an integer number (110561535).

Almost surely, 21221441140 is an apocalyptic number.

1221441140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221441140 is an abundant number, since it is smaller than the sum of its proper divisors (1432035700).

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

1221441140 is a wasteful number, since it uses less digits than its factorization.

1221441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105971 (or 2105969 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1221441140 is about 34949.1221635108. The cubic root of 1221441140 is about 1068.9503025507.

Adding to 1221441140 its reverse (411441221), we get a palindrome (1632882361).

The spelling of 1221441140 in words is "one billion, two hundred twenty-one million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2105933 4211866 8423732 10529665 21059330 42118660 61072057 122144114 244288228 305360285 610720570 1221441140