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1221414144 = 2831590383
BaseRepresentation
bin100100011001101…
…0100110100000000
310011010022021012220
41020303110310000
510000140223034
6321111051040
742160564116
oct11063246400
93133267186
101221414144
11577502585
122a1070a80
13166081482
14b8305ab6
157236a749
hex48cd4d00

1221414144 has 36 divisors (see below), whose sum is σ = 3250744896. Its totient is φ = 407137792.

The previous prime is 1221414143. The next prime is 1221414179. The reversal of 1221414144 is 4414141221.

It is a super-2 number, since 2×12214141442 = 2983705022326505472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221414143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 794424 + ... + 795959.

Almost surely, 21221414144 is an apocalyptic number.

It is an amenable number.

1221414144 is an abundant number, since it is smaller than the sum of its proper divisors (2029330752).

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

1221414144 is an equidigital number, since it uses as much as digits as its factorization.

1221414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590402 (or 1590388 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 1221414144 is about 34948.7359428063. The cubic root of 1221414144 is about 1068.9424272647.

Adding to 1221414144 its reverse (4414141221), we get a palindrome (5635555365).

The spelling of 1221414144 in words is "one billion, two hundred twenty-one million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1590383 3180766 4771149 6361532 9542298 12723064 19084596 25446128 38169192 50892256 76338384 101784512 152676768 203569024 305353536 407138048 610707072 1221414144