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2144616100 = 22521124212
BaseRepresentation
bin111111111010100…
…0011111010100100
312112110110210012221
41333311003322210
513343010203400
6552450322124
7104100636034
oct17765037244
95473423187
102144616100
11a00641900
124ba289344
1328240c813
14164b818c4
15c842bc1a
hex7fd43ea4

2144616100 has 81 divisors (see below), whose sum is σ = 5127531843. Its totient is φ = 778008000.

The previous prime is 2144616077. The next prime is 2144616121. The reversal of 2144616100 is 16164412.

The square root of 2144616100 is 46310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1228222116 + 916393984 = 35046^2 + 30272^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5093890 + ... + 5094310.

Almost surely, 22144616100 is an apocalyptic number.

2144616100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2144616100 is the 46310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144616100

2144616100 is an abundant number, since it is smaller than the sum of its proper divisors (2982915743).

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

2144616100 is a wasteful number, since it uses less digits than its factorization.

2144616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 2144616100 is about 1289.5846468413.

Multiplying 2144616100 by its sum of digits (25), we get a square (53615402500 = 2315502).

2144616100 divided by its sum of digits (25) gives a square (85784644 = 92622).

The spelling of 2144616100 in words is "two billion, one hundred forty-four million, six hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 421 484 550 605 842 1100 1210 1684 2105 2420 3025 4210 4631 6050 8420 9262 10525 12100 18524 21050 23155 42100 46310 50941 92620 101882 115775 177241 203764 231550 254705 354482 463100 509410 708964 886205 1018820 1273525 1772410 1949651 2547050 3544820 3899302 4431025 5094100 7798604 8862050 9748255 17724100 19496510 21446161 38993020 42892322 48741275 85784644 97482550 107230805 194965100 214461610 428923220 536154025 1072308050 2144616100