Search a number
-
+
2122102224 = 2432111339711
BaseRepresentation
bin111111001111100…
…1011010111010000
312110220002221222200
41332133023113100
513321224232344
6550324003200
7103405366644
oct17637132720
95426087880
102122102224
119999648a0
124b2830500
1327a8590b8
14161ba0c24
15c6481069
hex7e7cb5d0

2122102224 has 60 divisors (see below), whose sum is σ = 6478847232. Its totient is φ = 643060800.

The previous prime is 2122102219. The next prime is 2122102237. The reversal of 2122102224 is 4222012212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2122102197 and 2122102206.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 668272 + ... + 671439.

Almost surely, 22122102224 is an apocalyptic number.

2122102224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2122102224 is an abundant number, since it is smaller than the sum of its proper divisors (4356745008).

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

2122102224 is a wasteful number, since it uses less digits than its factorization.

2122102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339736 (or 1339727 counting only the distinct ones).

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

The square root of 2122102224 is about 46066.2807702120. The cubic root of 2122102224 is about 1285.0561374840.

Adding to 2122102224 its reverse (4222012212), we get a palindrome (6344114436).

The spelling of 2122102224 in words is "two billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 1339711 2679422 4019133 5358844 8038266 10717688 12057399 14736821 16076532 21435376 24114798 29473642 32153064 44210463 48229596 58947284 64306128 88420926 96459192 117894568 132631389 176841852 192918384 235789136 265262778 353683704 530525556 707367408 1061051112 2122102224