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23222112120 = 23325263324499
BaseRepresentation
bin10101101000001001…
…010100111101111000
32012221101111112010200
4111220021110331320
5340024330041440
614400150242200
71451315460534
oct255011247570
965841445120
1023222112120
1199373055a9
124601056360
1322610b905c
1411a41c8bc4
1590da85c30
hex568254f78

23222112120 has 96 divisors (see below), whose sum is σ = 75503610000. Its totient is φ = 6189958656.

The previous prime is 23222112119. The next prime is 23222112131. The reversal of 23222112120 is 2121122232.

23222112120 is a `hidden beast` number, since 232 + 221 + 1 + 212 + 0 = 666.

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 = 23222112093 and 23222112102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 935631 + ... + 960129.

Almost surely, 223222112120 is an apocalyptic number.

23222112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23222112120 is an abundant number, since it is smaller than the sum of its proper divisors (52281497880).

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

23222112120 is a wasteful number, since it uses less digits than its factorization.

23222112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27149 (or 27142 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23222112120 its reverse (2121122232), we get a palindrome (25343234352).

It can be divided in two parts, 23222112 and 120, that added together give a palindrome (23222232).

The spelling of 23222112120 in words is "twenty-three billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2633 5266 7899 10532 13165 15798 21064 23697 24499 26330 31596 39495 47394 48998 52660 63192 73497 78990 94788 97996 105320 118485 122495 146994 157980 189576 195992 220491 236970 244990 293988 315960 367485 440982 473940 489980 587976 734970 881964 947880 979960 1102455 1469940 1763928 2204910 2939880 4409820 8819640 64505867 129011734 193517601 258023468 322529335 387035202 516046936 580552803 645058670 774070404 967588005 1161105606 1290117340 1548140808 1935176010 2322211212 2580234680 2902764015 3870352020 4644422424 5805528030 7740704040 11611056060 23222112120