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22324001330000 = 24542232400133
BaseRepresentation
bin1010001001101101101100…
…01010110101001101010000
32221001011011000222021111002
411010312312022311031100
510411224023320030000
6115251301000041132
74462566364262336
oct504666612651520
987034130867432
1022324001330000
117127612846637
12260665aa631a8
13c5c1b501a506
145726b7713b56
1528aa726c78d5
hex144db62b5350

22324001330000 has 50 divisors (see below), whose sum is σ = 54048639644274. Its totient is φ = 8929600528000.

The previous prime is 22324001329871. The next prime is 22324001330009. The reversal of 22324001330000 is 3310042322.

It can be written as a sum of positive squares in 5 ways, for example, as 6446358505024 + 15877642824976 = 2538968^2 + 3984676^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-3 number, since 3×223240013300003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22324001330009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1116190067 + ... + 1116210066.

Almost surely, 222324001330000 is an apocalyptic number.

22324001330000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22324001330000 is an abundant number, since it is smaller than the sum of its proper divisors (31724638314274).

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

22324001330000 is an equidigital number, since it uses as much as digits as its factorization.

22324001330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232400161 (or 2232400140 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22324001330000 its reverse (3310042322), we get a palindrome (22327311372322).

The spelling of 22324001330000 in words is "twenty-two trillion, three hundred twenty-four billion, one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 2232400133 4464800266 8929600532 11162000665 17859201064 22324001330 35718402128 44648002660 55810003325 89296005320 111620006650 178592010640 223240013300 279050016625 446480026600 558100033250 892960053200 1116200066500 1395250083125 2232400133000 2790500166250 4464800266000 5581000332500 11162000665000 22324001330000