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22023451902432 = 25310110909208213
BaseRepresentation
bin1010000000111101111000…
…00001110000000111100000
32212222102101020012102210210
411000132330001300013200
510341313012141334212
6114501233434454120
74432066445301231
oct500367401600740
985872336172723
1022023451902432
1170211034a3272
122578361594340
13c39a5841bb46
14561d25631088
15282d31b8a53c
hex1407bc0701e0

22023451902432 has 96 divisors (see below), whose sum is σ = 58389585276960. Its totient is φ = 7267764787200.

The previous prime is 22023451902349. The next prime is 22023451902433. The reversal of 22023451902432 is 23420915432022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22023451902433) by changing a digit.

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, 105669558 + ... + 105877770.

It is an arithmetic number, because the mean of its divisors is an integer number (608224846635).

Almost surely, 222023451902432 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 22023451902432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29194792638480).

22023451902432 is an abundant number, since it is smaller than the sum of its proper divisors (36366133374528).

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

22023451902432 is a wasteful number, since it uses less digits than its factorization.

22023451902432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219236 (or 219228 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 22023451902432 in words is "twenty-two trillion, twenty-three billion, four hundred fifty-one million, nine hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 10909 21818 32727 43636 65454 87272 130908 174544 208213 261816 349088 416426 523632 624639 832852 1047264 1101809 1249278 1665704 2203618 2498556 3305427 3331408 4407236 4997112 6610854 6662816 8814472 9994224 13221708 17628944 19988448 21029513 26443416 35257888 42059026 52886832 63088539 84118052 105773664 126177078 168236104 252354156 336472208 504708312 672944416 1009416624 2018833248 2271395617 4542791234 6814186851 9085582468 13628373702 18171164936 27256747404 36342329872 54513494808 72684659744 109026989616 218053979232 229410957317 458821914634 688232871951 917643829268 1376465743902 1835287658536 2752931487804 3670575317072 5505862975608 7341150634144 11011725951216 22023451902432