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2114123220 = 2233511355913
BaseRepresentation
bin111111000000010…
…1111010111010100
312110100002120212000
41332000233113110
513312203420340
6545440555300
7103250515356
oct17600572724
95410076760
102114123220
11995405080
124b0022b30
13278cc43b1
14160ac50d6
15c5906d30
hex7e02f5d4

2114123220 has 96 divisors (see below), whose sum is σ = 7175226240. Its totient is φ = 512513280.

The previous prime is 2114123197. The next prime is 2114123237. The reversal of 2114123220 is 223214112.

It is a happy number.

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 = 2114123193 and 2114123202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172017 + ... + 183896.

It is an arithmetic number, because the mean of its divisors is an integer number (74741940).

Almost surely, 22114123220 is an apocalyptic number.

2114123220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114123220 is an abundant number, since it is smaller than the sum of its proper divisors (5061103020).

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

2114123220 is a wasteful number, since it uses less digits than its factorization.

2114123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355942 (or 355934 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2114123220 is about 45979.5956920023. The cubic root of 2114123220 is about 1283.4435312505.

Adding to 2114123220 its reverse (223214112), we get a palindrome (2337337332).

The spelling of 2114123220 in words is "two billion, one hundred fourteen million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 355913 711826 1067739 1423652 1779565 2135478 3203217 3559130 3915043 4270956 5338695 6406434 7118260 7830086 9609651 10677390 11745129 12812868 15660172 16016085 19219302 19575215 21354780 23490258 32032170 35235387 38438604 39150430 46980516 48048255 58725645 64064340 70470774 78300860 96096510 105706161 117451290 140941548 176176935 192193020 211412322 234902580 352353870 422824644 528530805 704707740 1057061610 2114123220