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22323012120 = 23325173647551
BaseRepresentation
bin10100110010100011…
…100010001000011000
32010121201200111210200
4110302203202020120
5331204142341440
614131031342200
71420120320663
oct246243421030
963551614720
1022323012120
119515838452
1243abb21960
132149a49216
14111aa246da
158a9b85c30
hex5328e2218

22323012120 has 96 divisors (see below), whose sum is σ = 76817445120. Its totient is φ = 5602636800.

The previous prime is 22323012059. The next prime is 22323012121. The reversal of 22323012120 is 2121032322.

22323012120 is a `hidden beast` number, since 223 + 230 + 1 + 212 + 0 = 666.

It is a super-3 number, since 3×223230121203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22323012093 and 22323012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22323012121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1817656 + ... + 1829895.

It is an arithmetic number, because the mean of its divisors is an integer number (800181720).

Almost surely, 222323012120 is an apocalyptic number.

22323012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22323012120 is an abundant number, since it is smaller than the sum of its proper divisors (54494433000).

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

22323012120 is a wasteful number, since it uses less digits than its factorization.

22323012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647585 (or 3647578 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22323012120 its reverse (2121032322), we get a palindrome (24444044442).

The spelling of 22323012120 in words is "twenty-two billion, three hundred twenty-three million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 3647551 7295102 10942653 14590204 18237755 21885306 29180408 32827959 36475510 43770612 54713265 62008367 65655918 72951020 87541224 109426530 124016734 131311836 145902040 164139795 186025101 218853060 248033468 262623672 310041835 328279590 372050202 437706120 496066936 558075303 620083670 656559180 744100404 930125505 1116150606 1240167340 1313118360 1488200808 1860251010 2232301212 2480334680 2790376515 3720502020 4464602424 5580753030 7441004040 11161506060 22323012120