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21994794240 = 283510156711
BaseRepresentation
bin10100011110111111…
…011110110100000000
32002202212002022111220
4110132333132310000
5330021131403430
614034304435040
71406023444356
oct243677366400
962685068456
1021994794240
119367540501
12431a018a80
1320c6a4b663
1410c91c77d6
1588ae51110
hex51efded00

21994794240 has 144 divisors (see below), whose sum is σ = 70942628736. Its totient is φ = 5807104000.

The previous prime is 21994794233. The next prime is 21994794271. The reversal of 21994794240 is 4249749912.

It is a super-3 number, since 3×219947942403 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 359485 + ... + 416195.

It is an arithmetic number, because the mean of its divisors is an integer number (492657144).

Almost surely, 221994794240 is an apocalyptic number.

21994794240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21994794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35471314368).

21994794240 is an abundant number, since it is smaller than the sum of its proper divisors (48947834496).

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

21994794240 is a wasteful number, since it uses less digits than its factorization.

21994794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56836 (or 56822 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 21994794240 in words is "twenty-one billion, nine hundred ninety-four million, seven hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 128 160 192 202 240 256 303 320 384 404 480 505 606 640 768 808 960 1010 1212 1280 1515 1616 1920 2020 2424 3030 3232 3840 4040 4848 6060 6464 8080 9696 12120 12928 16160 19392 24240 25856 32320 38784 48480 56711 64640 77568 96960 113422 129280 170133 193920 226844 283555 340266 387840 453688 567110 680532 850665 907376 1134220 1361064 1701330 1814752 2268440 2722128 3402660 3629504 4536880 5444256 5727811 6805320 7259008 9073760 10888512 11455622 13610640 14518016 17183433 18147520 21777024 22911244 27221280 28639055 34366866 36295040 43554048 45822488 54442560 57278110 68733732 72590080 85917165 91644976 108885120 114556220 137467464 171834330 183289952 217770240 229112440 274934928 343668660 366579904 458224880 549869856 687337320 733159808 916449760 1099739712 1374674640 1466319616 1832899520 2199479424 2749349280 3665799040 4398958848 5498698560 7331598080 10997397120 21994794240