Search a number
-
+
22202012000 = 25537792929
BaseRepresentation
bin10100101011010101…
…111101000101100000
32010022022000001211202
4110223111331011200
5330432203341000
614111030100332
71414120662650
oct245325750540
963268001752
1022202012000
119463503253
1243774aa6a8
13212a96200c
141108928360
1589e233dd5
hex52b57d160

22202012000 has 96 divisors (see below), whose sum is σ = 62343328320. Its totient is φ = 7612108800.

The previous prime is 22202011991. The next prime is 22202012029. The reversal of 22202012000 is 21020222.

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 15 ways as a sum of consecutive naturals, for example, 368465 + ... + 424464.

It is an arithmetic number, because the mean of its divisors is an integer number (649409670).

Almost surely, 222202012000 is an apocalyptic number.

22202012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202012000 is an abundant number, since it is smaller than the sum of its proper divisors (40141316320).

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

22202012000 is an equidigital number, since it uses as much as digits as its factorization.

22202012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792961 (or 792943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22202012000 its reverse (21020222), we get a palindrome (22223032222).

The spelling of 22202012000 in words is "twenty-two billion, two hundred two million, twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 792929 1585858 3171716 3964645 5550503 6343432 7929290 11101006 12686864 15858580 19823225 22202012 25373728 27752515 31717160 39646450 44404024 55505030 63434320 79292900 88808048 99116125 111010060 126868640 138762575 158585800 177616096 198232250 222020120 277525150 317171600 396464500 444040240 555050300 634343200 693812875 792929000 888080480 1110100600 1387625750 1585858000 2220201200 2775251500 3171716000 4440402400 5550503000 11101006000 22202012000