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23200031000 = 2353237114207
BaseRepresentation
bin10101100110110101…
…000110000100011000
32012212211221200112102
4111212311012010120
5340003201443000
614354041102532
71450630003226
oct254665060430
965784850472
1023200031000
1199258a3743
1245b5787a48
1322596575c3
1411a12bbb16
1590bb733d5
hex566d46118

23200031000 has 128 divisors (see below), whose sum is σ = 57450332160. Its totient is φ = 8750896000.

The previous prime is 23200030999. The next prime is 23200031003. The reversal of 23200031000 is 13000232.

It is a super-2 number, since 2×232000310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200031003) 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, 1625897 + ... + 1640103.

It is an arithmetic number, because the mean of its divisors is an integer number (448830720).

Almost surely, 223200031000 is an apocalyptic number.

23200031000 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 23200031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28725166080).

23200031000 is an abundant number, since it is smaller than the sum of its proper divisors (34250301160).

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

23200031000 is a wasteful number, since it uses less digits than its factorization.

23200031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14322 (or 14308 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 23200031000 its reverse (13000232), we get a palindrome (23213031232).

The spelling of 23200031000 in words is "twenty-three billion, two hundred million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 71 92 100 115 125 142 184 200 230 250 284 355 460 500 568 575 710 920 1000 1150 1420 1633 1775 2300 2840 2875 3266 3550 4600 5750 6532 7100 8165 8875 11500 13064 14200 14207 16330 17750 23000 28414 32660 35500 40825 56828 65320 71000 71035 81650 113656 142070 163300 204125 284140 326600 326761 355175 408250 568280 653522 710350 816500 1008697 1307044 1420700 1633000 1633805 1775875 2017394 2614088 2841400 3267610 3551750 4034788 5043485 6535220 7103500 8069576 8169025 10086970 13070440 14207000 16338050 20173940 23200031 25217425 32676100 40347880 40845125 46400062 50434850 65352200 81690250 92800124 100869700 116000155 126087125 163380500 185600248 201739400 232000310 252174250 326761000 464000620 504348500 580000775 928001240 1008697000 1160001550 2320003100 2900003875 4640006200 5800007750 11600015500 23200031000