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23200340340 = 223510111293391
BaseRepresentation
bin10101100110110110…
…010001100101110100
32012212212112101212110
4111212312101211310
5340003241342330
614354051451020
71450632432132
oct254666214564
965785471773
1023200340340
119925a950a1
1245b58b6a70
132259735348
1411a135c752
1590bbd4db0
hex566d91974

23200340340 has 96 divisors (see below), whose sum is σ = 65681602560. Its totient is φ = 6118272000.

The previous prime is 23200340321. The next prime is 23200340341. The reversal of 23200340340 is 4304300232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200340341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6840045 + ... + 6843435.

It is an arithmetic number, because the mean of its divisors is an integer number (684183360).

Almost surely, 223200340340 is an apocalyptic number.

23200340340 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 23200340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32840801280).

23200340340 is an abundant number, since it is smaller than the sum of its proper divisors (42481262220).

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

23200340340 is a wasteful number, since it uses less digits than its factorization.

23200340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 23200340340 its reverse (4304300232), we get a palindrome (27504640572).

The spelling of 23200340340 in words is "twenty-three billion, two hundred million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1129 1212 1515 2020 2258 3030 3387 3391 4516 5645 6060 6774 6782 10173 11290 13548 13564 16935 16955 20346 22580 33870 33910 40692 50865 67740 67820 101730 114029 203460 228058 342087 342491 456116 570145 684174 684982 1027473 1140290 1368348 1369964 1710435 1712455 2054946 2280580 3420870 3424910 3828439 4109892 5137365 6841740 6849820 7656878 10274730 11485317 15313756 19142195 20549460 22970634 38284390 45941268 57426585 76568780 114853170 229706340 386672339 773344678 1160017017 1546689356 1933361695 2320034034 3866723390 4640068068 5800085085 7733446780 11600170170 23200340340