Search a number
-
+
22299908838912 = 293244471088237
BaseRepresentation
bin1010001001000000110100…
…01001010001011000000000
32220221211221222200220212100
411010200122021101120000
510410330203130321122
6115232234154230400
74461054346422465
oct504403211213000
986854858626770
1022299908838912
11711837a200481
122601a56425400
13c59b45809423
1457146dabd66c
1528a112516aac
hex14481a251600

22299908838912 has 120 divisors (see below), whose sum is σ = 64373578416576. Its totient is φ = 7431624585216.

The previous prime is 22299908838877. The next prime is 22299908838931. The reversal of 22299908838912 is 21983880999222.

22299908838912 is a `hidden beast` number, since 2 + 229 + 9 + 9 + 0 + 8 + 8 + 389 + 12 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19947658 + ... + 21035894.

Almost surely, 222299908838912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22299908838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32186789208288).

22299908838912 is an abundant number, since it is smaller than the sum of its proper divisors (42073669577664).

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

22299908838912 is a wasteful number, since it uses less digits than its factorization.

22299908838912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092708 (or 1092689 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 22299908838912 in words is "twenty-two trillion, two hundred ninety-nine billion, nine hundred eight million, eight hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4447 4608 8894 13341 17788 26682 35576 40023 53364 71152 80046 106728 142304 160092 213456 284608 320184 426912 569216 640368 853824 1088237 1138432 1280736 1707648 2176474 2276864 2561472 3264711 3415296 4352948 5122944 6529422 6830592 8705896 9794133 10245888 13058844 17411792 19588266 20491776 26117688 34823584 39176532 52235376 69647168 78353064 104470752 139294336 156706128 208941504 278588672 313412256 417883008 557177344 626824512 835766016 1253649024 1671532032 2507298048 4839389939 5014596096 9678779878 14518169817 19357559756 29036339634 38715119512 43554509451 58072679268 77430239024 87109018902 116145358536 154860478048 174218037804 232290717072 309720956096 348436075608 464581434144 619441912192 696872151216 929162868288 1238883824384 1393744302432 1858325736576 2477767648768 2787488604864 3716651473152 5574977209728 7433302946304 11149954419456 22299908838912