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2022230112 = 25373009271
BaseRepresentation
bin111100010001000…
…1100100001100000
312012221011221012120
41320202030201200
513120142330422
6532355224240
7101053446420
oct17042144140
95187157176
102022230112
11948550461
124852a8080
13262c5b886
14152804480
15bc80445c
hex7888c860

2022230112 has 48 divisors (see below), whose sum is σ = 6066692352. Its totient is φ = 577779840.

The previous prime is 2022230107. The next prime is 2022230123. The reversal of 2022230112 is 2110322202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2022230091 and 2022230100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1503964 + ... + 1505307.

It is an arithmetic number, because the mean of its divisors is an integer number (126389424).

Almost surely, 22022230112 is an apocalyptic number.

It is an amenable number.

2022230112 is an abundant number, since it is smaller than the sum of its proper divisors (4044462240).

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

2022230112 is a wasteful number, since it uses less digits than its factorization.

2022230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009291 (or 3009283 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2022230112 is about 44969.2129350737. The cubic root of 2022230112 is about 1264.5718917743.

Adding to 2022230112 its reverse (2110322202), we get a palindrome (4132552314).

The spelling of 2022230112 in words is "two billion, twenty-two million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3009271 6018542 9027813 12037084 18055626 21064897 24074168 36111252 42129794 48148336 63194691 72222504 84259588 96296672 126389382 144445008 168519176 252778764 288890016 337038352 505557528 674076704 1011115056 2022230112