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23202112320 = 263258056289
BaseRepresentation
bin10101100110111101…
…000010001101000000
32012212222212102120100
4111212331002031000
5340004220043240
614354153442400
71450653462222
oct254675021500
965788772510
1023202112320
119926a95442
1245b6410400
132259c05a5a
1411a16a0412
1590be34e30
hex566f42340

23202112320 has 84 divisors (see below), whose sum is σ = 79805608740. Its totient is φ = 6187229184.

The previous prime is 23202112303. The next prime is 23202112321. The reversal of 23202112320 is 2321120232.

23202112320 is a `hidden beast` number, since 2 + 320 + 21 + 1 + 2 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10189691136 + 13012421184 = 100944^2 + 114072^2 .

It is a super-2 number, since 2×232021123202 (a number of 22 digits) contains 22 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 = 23202112293 and 23202112302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23202112321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4025265 + ... + 4031024.

Almost surely, 223202112320 is an apocalyptic number.

23202112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23202112320 is an abundant number, since it is smaller than the sum of its proper divisors (56603496420).

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

23202112320 is a wasteful number, since it uses less digits than its factorization.

23202112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056312 (or 8056299 counting only the distinct ones).

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

Adding to 23202112320 its reverse (2321120232), we get a palindrome (25523232552).

The spelling of 23202112320 in words is "twenty-three billion, two hundred two million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 8056289 16112578 24168867 32225156 40281445 48337734 64450312 72506601 80562890 96675468 120844335 128900624 145013202 161125780 193350936 241688670 257801248 290026404 322251560 362533005 386701872 483377340 515602496 580052808 644503120 725066010 773403744 966754680 1160105616 1289006240 1450132020 1546807488 1933509360 2320211232 2578012480 2900264040 3867018720 4640422464 5800528080 7734037440 11601056160 23202112320