Search a number
-
+
2122230825 = 3252111371929
BaseRepresentation
bin111111001111110…
…1010110000101001
312110220100111101200
41332133222300221
513321242341300
6550330434413
7103406443611
oct17637526051
95426314350
102122230825
11999a42480
124b2892a09
1327a8a27b0
14161bd5a41
15c64a9200
hex7e7eac29

2122230825 has 144 divisors (see below), whose sum is σ = 4533459840. Its totient is φ = 935424000.

The previous prime is 2122230779. The next prime is 2122230827. The reversal of 2122230825 is 5280322212.

It is not a de Polignac number, because 2122230825 - 27 = 2122230697 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2122230827) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2283961 + ... + 2284889.

It is an arithmetic number, because the mean of its divisors is an integer number (31482360).

Almost surely, 22122230825 is an apocalyptic number.

2122230825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2122230825 is an abundant number, since it is smaller than the sum of its proper divisors (2411229015).

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

2122230825 is a wasteful number, since it uses less digits than its factorization.

2122230825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2122230825 is about 46067.6765747959. The cubic root of 2122230825 is about 1285.0820954177.

The spelling of 2122230825 in words is "two billion, one hundred twenty-two million, two hundred thirty thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 71 75 99 117 143 165 195 213 225 275 325 355 429 495 585 639 715 781 825 923 929 975 1065 1287 1775 2145 2343 2475 2769 2787 2925 3195 3575 3905 4615 4645 5325 6435 7029 8307 8361 10153 10219 10725 11715 12077 13845 13935 15975 19525 23075 23225 30459 30657 32175 35145 36231 41535 41805 50765 51095 58575 60385 65959 69225 69675 91377 91971 108693 132847 152295 153285 175725 181155 197877 207675 209025 253825 255475 301925 329795 398541 456885 459855 543465 593631 664235 725549 761475 766425 857467 905775 989385 1195623 1648975 1992705 2176647 2284425 2299275 2572401 2717325 2968155 3321175 3627745 4287335 4946925 5978115 6529941 7717203 9432137 9963525 10883235 12862005 14840775 18138725 21436675 28296411 29890575 32649705 38586015 47160685 54416175 64310025 84889233 141482055 163248525 192930075 235803425 424446165 707410275 2122230825