Search a number
-
+
22007491200 = 273252764149
BaseRepresentation
bin10100011111101111…
…111010101010000000
32002210201222101110200
4110133233322222000
5330032404204300
614035440525200
71406236405632
oct243757725200
962721871420
1022007491200
119373722962
124322320800
1320c9575956
1410cab70a52
1588c10d200
hex51fbfaa80

22007491200 has 144 divisors (see below), whose sum is σ = 78527874750. Its totient is φ = 5868656640.

The previous prime is 22007491147. The next prime is 22007491213. The reversal of 22007491200 is 219470022.

It can be written as a sum of positive squares in 3 ways, for example, as 19396689984 + 2610801216 = 139272^2 + 51096^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 353275 + ... + 410874.

Almost surely, 222007491200 is an apocalyptic number.

22007491200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22007491200 is an abundant number, since it is smaller than the sum of its proper divisors (56520383550).

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

22007491200 is a wasteful number, since it uses less digits than its factorization.

22007491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764179 (or 764159 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 22007491200 in words is "twenty-two billion, seven million, four hundred ninety-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1440 1600 1800 1920 2400 2880 3200 3600 4800 5760 7200 9600 14400 28800 764149 1528298 2292447 3056596 3820745 4584894 6113192 6877341 7641490 9169788 11462235 12226384 13754682 15282980 18339576 19103725 22924470 24452768 27509364 30565960 34386705 36679152 38207450 45848940 48905536 55018728 57311175 61131920 68773410 73358304 76414900 91697880 97811072 110037456 114622350 122263840 137546820 146716608 152829800 171933525 183395760 220074912 229244700 244527680 275093640 293433216 305659600 343867050 366791520 440149824 458489400 489055360 550187280 611319200 687734100 733583040 880299648 916978800 1100374560 1222638400 1375468200 1467166080 1833957600 2200749120 2445276800 2750936400 3667915200 4401498240 5501872800 7335830400 11003745600 22007491200