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23200232320 = 275108733349
BaseRepresentation
bin10101100110110101…
…110111001110000000
32012212212022220200201
4111212311313032000
5340003224413240
614354045254544
71450631502166
oct254665671600
965785286621
1023200232320
119925a20a21
1245b5864454
1322596c8125
1411a1331236
1590bbb2d9a
hex566d77380

23200232320 has 64 divisors (see below), whose sum is σ = 55515744000. Its totient is φ = 9271277568.

The previous prime is 23200232309. The next prime is 23200232323. The reversal of 23200232320 is 2323200232.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200232323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679006 + ... + 712354.

It is an arithmetic number, because the mean of its divisors is an integer number (867433500).

Almost surely, 223200232320 is an apocalyptic number.

23200232320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23200232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27757872000).

23200232320 is an abundant number, since it is smaller than the sum of its proper divisors (32315511680).

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

23200232320 is a wasteful number, since it uses less digits than its factorization.

23200232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34455 (or 34443 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 23200232320 its reverse (2323200232), we get a palindrome (25523432552).

The spelling of 23200232320 in words is "twenty-three billion, two hundred million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1087 2174 4348 5435 8696 10870 17392 21740 33349 34784 43480 66698 69568 86960 133396 139136 166745 173920 266792 333490 347840 533584 666980 695680 1067168 1333960 2134336 2667920 4268672 5335840 10671680 21343360 36250363 72500726 145001452 181251815 290002904 362503630 580005808 725007260 1160011616 1450014520 2320023232 2900029040 4640046464 5800058080 11600116160 23200232320