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23000302000 = 2453132293863
BaseRepresentation
bin10101011010111011…
…001100000110110000
32012100221010101212001
4111122323030012300
5334101034131000
614322144143344
71442653225024
oct253273140660
965327111761
1023000302000
119833086355
12455a907b54
132227166770
14118296a384
158e936e46a
hex55aecc1b0

23000302000 has 160 divisors (see below), whose sum is σ = 60169898880. Its totient is φ = 8453145600.

The previous prime is 23000301979. The next prime is 23000302001. The reversal of 23000302000 is 20300032.

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

It is not an unprimeable number, because it can be changed into a prime (23000302001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5952069 + ... + 5955931.

It is an arithmetic number, because the mean of its divisors is an integer number (376061868).

Almost surely, 223000302000 is an apocalyptic number.

23000302000 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 23000302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30084949440).

23000302000 is an abundant number, since it is smaller than the sum of its proper divisors (37169596880).

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

23000302000 is a wasteful number, since it uses less digits than its factorization.

23000302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

Adding to 23000302000 its reverse (20300032), we get a palindrome (23020602032).

The spelling of 23000302000 in words is "twenty-three billion, three hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 229 250 260 325 400 458 500 520 650 916 1000 1040 1145 1300 1625 1832 2000 2290 2600 2977 3250 3664 3863 4580 5200 5725 5954 6500 7726 9160 11450 11908 13000 14885 15452 18320 19315 22900 23816 26000 28625 29770 30904 38630 45800 47632 50219 57250 59540 61808 74425 77260 91600 96575 100438 114500 119080 148850 154520 193150 200876 229000 238160 251095 297700 309040 372125 386300 401752 458000 482875 502190 595400 744250 772600 803504 884627 965750 1004380 1190800 1255475 1488500 1545200 1769254 1931500 2008760 2510950 2977000 3538508 3863000 4017520 4423135 5021900 5954000 6277375 7077016 7726000 8846270 10043800 11500151 12554750 14154032 17692540 20087600 22115675 23000302 25109500 35385080 44231350 46000604 50219000 57500755 70770160 88462700 92001208 100438000 110578375 115001510 176925400 184002416 221156750 230003020 287503775 353850800 442313500 460006040 575007550 884627000 920012080 1150015100 1437518875 1769254000 2300030200 2875037750 4600060400 5750075500 11500151000 23000302000