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21226232320 = 29514595683
BaseRepresentation
bin10011110001001011…
…101001101000000000
32000210021220022202121
4103301023221220000
5321432403413240
613430131454024
71351001666146
oct236113515000
960707808677
1021226232320
119002722567
124144757314
1320037551a7
1410550c3596
1584373904a
hex4f12e9a00

21226232320 has 80 divisors (see below), whose sum is σ = 50937052320. Its totient is φ = 8483180544.

The previous prime is 21226232267. The next prime is 21226232333. The reversal of 21226232320 is 2323262212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×212262323202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3732199 + ... + 3737881.

It is an arithmetic number, because the mean of its divisors is an integer number (636713154).

Almost surely, 221226232320 is an apocalyptic number.

21226232320 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 21226232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25468526160).

21226232320 is an abundant number, since it is smaller than the sum of its proper divisors (29710820000).

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

21226232320 is an equidigital number, since it uses as much as digits as its factorization.

21226232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 21226232320 its reverse (2323262212), we get a palindrome (23549494532).

The spelling of 21226232320 in words is "twenty-one billion, two hundred twenty-six million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1459 2560 2918 5683 5836 7295 11366 11672 14590 22732 23344 28415 29180 45464 46688 56830 58360 90928 93376 113660 116720 181856 186752 227320 233440 363712 373504 454640 466880 727424 747008 909280 933760 1454848 1818560 1867520 2909696 3637120 3735040 7274240 8291497 14548480 16582994 33165988 41457485 66331976 82914970 132663952 165829940 265327904 331659880 530655808 663319760 1061311616 1326639520 2122623232 2653279040 4245246464 5306558080 10613116160 21226232320