Search a number
-
+
231203200000 = 2105572251
BaseRepresentation
bin1101011101010011001…
…0001101110000000000
3211002202221121110222111
43113110302031300000
512242001004400000
6254114022545104
722463300526403
oct3272462156000
9732687543874
10231203200000
118a0641a71a3
1238985598194
1318a57a59126
14b29424dd3a
156032a1bcba
hex35d4c8dc00

231203200000 has 132 divisors (see below), whose sum is σ = 577696790664. Its totient is φ = 92480000000.

The previous prime is 231203199991. The next prime is 231203200049. The reversal of 231203200000 is 2302132.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3163875 + ... + 3236125.

Almost surely, 2231203200000 is an apocalyptic number.

231203200000 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 231203200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288848395332).

231203200000 is an abundant number, since it is smaller than the sum of its proper divisors (346493590664).

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

231203200000 is an frugal number, since it uses more digits than its factorization.

231203200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72296 (or 72258 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 231203200000 its reverse (2302132), we get a palindrome (231205502132).

It can be divided in two parts, 23120 and 3200000, that multiplied together give a square (73984000000 = 2720002).

The spelling of 231203200000 in words is "two hundred thirty-one billion, two hundred three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 16000 20000 25000 25600 32000 40000 50000 64000 72251 80000 100000 128000 144502 160000 200000 289004 320000 361255 400000 578008 640000 722510 800000 1156016 1445020 1600000 1806275 2312032 2890040 3200000 3612550 4624064 5780080 7225100 9031375 9248128 11560160 14450200 18062750 18496256 23120320 28900400 36125500 36992512 45156875 46240640 57800800 72251000 73985024 90313750 92481280 115601600 144502000 180627500 184962560 225784375 231203200 289004000 361255000 369925120 451568750 462406400 578008000 722510000 903137500 924812800 1156016000 1445020000 1806275000 1849625600 2312032000 2890040000 3612550000 4624064000 5780080000 7225100000 9248128000 11560160000 14450200000 23120320000 28900400000 46240640000 57800800000 115601600000 231203200000