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23200322000 = 245311600161
BaseRepresentation
bin10101100110110110…
…001101000111010000
32012212212111110201012
4111212312031013100
5340003240301000
614354051230052
71450632324512
oct254666150720
965785443635
1023200322000
119925a82339
1245b58a8328
132259729bab
1411a1355bb2
1590bbce735
hex566d8d1d0

23200322000 has 40 divisors (see below), whose sum is σ = 56098383432. Its totient is φ = 9280128000.

The previous prime is 23200321993. The next prime is 23200322009. The reversal of 23200322000 is 22300232.

It can be written as a sum of positive squares in 4 ways, for example, as 24522304 + 23175799696 = 4952^2 + 152236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200322009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5798081 + ... + 5802080.

Almost surely, 223200322000 is an apocalyptic number.

23200322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23200322000 is an abundant number, since it is smaller than the sum of its proper divisors (32898061432).

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

23200322000 is a wasteful number, since it uses less digits than its factorization.

23200322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11600184 (or 11600168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 23200322000 its reverse (22300232), we get a palindrome (23222622232).

The spelling of 23200322000 in words is "twenty-three billion, two hundred million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11600161 23200322 46400644 58000805 92801288 116001610 185602576 232003220 290004025 464006440 580008050 928012880 1160016100 1450020125 2320032200 2900040250 4640064400 5800080500 11600161000 23200322000