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2114244432 = 243216378969
BaseRepresentation
bin111111000000100…
…1100111101010000
312110100022202010100
41332001030331100
513312221310212
6545443332400
7103251531636
oct17601147520
95410282110
102114244432
11995488153
124b0081100
13279037611
14160b17356
15c592cbdc
hex7e04cf50

2114244432 has 60 divisors (see below), whose sum is σ = 5921222580. Its totient is φ = 704239104.

The previous prime is 2114244421. The next prime is 2114244439. The reversal of 2114244432 is 2344424112.

2114244432 is a `hidden beast` number, since 211 + 4 + 2 + 4 + 443 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 475937856 + 1638306576 = 21816^2 + 40476^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2114244396 and 2114244405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114244439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231244 + ... + 240212.

It is an arithmetic number, because the mean of its divisors is an integer number (98687043).

Almost surely, 22114244432 is an apocalyptic number.

It is an amenable number.

2114244432 is an abundant number, since it is smaller than the sum of its proper divisors (3806978148).

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

2114244432 is a wasteful number, since it uses less digits than its factorization.

2114244432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10620 (or 10611 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2114244432 is about 45980.9137795238. The cubic root of 2114244432 is about 1283.4680592727.

Adding to 2114244432 its reverse (2344424112), we get a palindrome (4458668544).

It can be divided in two parts, 21 and 14244432, that added together give a triangular number (14244453 = T5337).

The spelling of 2114244432 in words is "two billion, one hundred fourteen million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1637 3274 4911 6548 8969 9822 13096 14733 17938 19644 26192 26907 29466 35876 39288 53814 58932 71752 78576 80721 107628 117864 143504 161442 215256 235728 322884 430512 645768 1291536 14682253 29364506 44046759 58729012 88093518 117458024 132140277 176187036 234916048 264280554 352374072 528561108 704748144 1057122216 2114244432