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20002312000 = 265311227299
BaseRepresentation
bin10010101000001110…
…110000111101000000
31220121222212201201101
4102220032300331000
5311431042441000
613104450544144
71305450563266
oct225016607500
956558781641
1020002312000
118534869070
123a62898054
131b6a007098
14d7a728436
157c1075e6a
hex4a83b0f40

20002312000 has 112 divisors (see below), whose sum is σ = 54039211200. Its totient is φ = 7273536000.

The previous prime is 20002311937. The next prime is 20002312003. The reversal of 20002312000 is 21320002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002312003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25650 + ... + 201649.

Almost surely, 220002312000 is an apocalyptic number.

20002312000 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 20002312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27019605600).

20002312000 is an abundant number, since it is smaller than the sum of its proper divisors (34036899200).

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

20002312000 is a wasteful number, since it uses less digits than its factorization.

20002312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227337 (or 227317 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20002312000 its reverse (21320002), we get a palindrome (20023632002).

It can be divided in two parts, 2000 and 2312000, that multiplied together give a square (4624000000 = 680002).

The spelling of 20002312000 in words is "twenty billion, two million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 227299 454598 909196 1136495 1818392 2272990 2500289 3636784 4545980 5000578 5682475 7273568 9091960 10001156 11364950 12501445 14547136 18183920 20002312 22729900 25002890 28412375 36367840 40004624 45459800 50005780 56824750 62507225 72735680 80009248 90919600 100011560 113649500 125014450 160018496 181839200 200023120 227299000 250028900 312536125 363678400 400046240 454598000 500057800 625072250 800092480 909196000 1000115600 1250144500 1818392000 2000231200 2500289000 4000462400 5000578000 10001156000 20002312000