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23200020 = 2234514321
BaseRepresentation
bin101100010000…
…0000100010100
31121122200110000
41120200010110
521414400040
62145131300
7401124354
oct130400424
947580400
1023200020
1112106578
127929b30
134a63b2c
14311cb64
152084130
hex1620114

23200020 has 60 divisors (see below), whose sum is σ = 72784404. Its totient is φ = 6186240.

The previous prime is 23199989. The next prime is 23200027. The reversal of 23200020 is 2000232.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 20088324 = 1764^2 + 4482^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 23199975 and 23200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5541 + ... + 8780.

Almost surely, 223200020 is an apocalyptic number.

23200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23200020 is an abundant number, since it is smaller than the sum of its proper divisors (49584384).

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

23200020 is a wasteful number, since it uses less digits than its factorization.

23200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14342 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 23200020 is about 4816.6399076535. The cubic root of 23200020 is about 285.2087113850.

Adding to 23200020 its reverse (2000232), we get a palindrome (25200252).

The spelling of 23200020 in words is "twenty-three million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 14321 28642 42963 57284 71605 85926 128889 143210 171852 214815 257778 286420 386667 429630 515556 644445 773334 859260 1160001 1288890 1546668 1933335 2320002 2577780 3866670 4640004 5800005 7733340 11600010 23200020