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2001222144 = 2932434293
BaseRepresentation
bin111011101001000…
…0011101000000000
312011110122121200200
41313102003220000
513044303102034
6530325045200
7100410051615
oct16722035000
95143577620
102001222144
119377018a9
1247a256800
1325b7b471c
1414dad650c
15baa54a99
hex77483a00

2001222144 has 60 divisors (see below), whose sum is σ = 5775675906. Its totient is φ = 667072512.

The previous prime is 2001222131. The next prime is 2001222149. The reversal of 2001222144 is 4412221002.

It can be written as a sum of positive squares in only one way, i.e., 1945868544 + 55353600 = 44112^2 + 7440^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2001222149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 212539 + ... + 221754.

Almost surely, 22001222144 is an apocalyptic number.

2001222144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2001222144 is an abundant number, since it is smaller than the sum of its proper divisors (3774453762).

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

2001222144 is an equidigital number, since it uses as much as digits as its factorization.

2001222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434317 (or 434298 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2001222144 is about 44735.0214485251. The cubic root of 2001222144 is about 1260.1776317972.

Adding to 2001222144 its reverse (4412221002), we get a palindrome (6413443146).

The spelling of 2001222144 in words is "two billion, one million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 434293 868586 1302879 1737172 2605758 3474344 3908637 5211516 6948688 7817274 10423032 13897376 15634548 20846064 27794752 31269096 41692128 55589504 62538192 83384256 111179008 125076384 166768512 222358016 250152768 333537024 500305536 667074048 1000611072 2001222144