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23220002232 = 2332746071433
BaseRepresentation
bin10101101000000001…
…010001110110111000
32012221020112022220200
4111220001101312320
5340023310032412
614400033122200
71451261522340
oct255001216670
965836468820
1023220002232
1199360a4399
1246003b9360
13226082a8bb
1411a3bd9d20
1590d7ba9dc
hex568051db8

23220002232 has 48 divisors (see below), whose sum is σ = 71871437040. Its totient is φ = 6634286208.

The previous prime is 23220002231. The next prime is 23220002243.

23220002232 is a `hidden beast` number, since 232 + 200 + 0 + 2 + 232 = 666.

23220002232 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23220002231) 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, 23035213 + ... + 23036220.

It is an arithmetic number, because the mean of its divisors is an integer number (1497321605).

Almost surely, 223220002232 is an apocalyptic number.

It is an amenable number.

23220002232 is an abundant number, since it is smaller than the sum of its proper divisors (48651434808).

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

23220002232 is a wasteful number, since it uses less digits than its factorization.

23220002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46071452 (or 46071445 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 2322000 and 2232, that added together give a palindrome (2324232).

The spelling of 23220002232 in words is "twenty-three billion, two hundred twenty million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 46071433 92142866 138214299 184285732 276428598 322500031 368571464 414642897 552857196 645000062 829285794 967500093 1105714392 1290000124 1658571588 1935000186 2580000248 2902500279 3317143176 3870000372 5805000558 7740000744 11610001116 23220002232