Search a number
-
+
16233301000 = 235372979967
BaseRepresentation
bin11110001111001010…
…01000010000001000
31112220022211010121101
433013211020100020
5231221211113000
611242451551144
71113163532110
oct170745102010
945808733541
1016233301000
116980303344
1231905bb4b4
1316b91ccb67
14addd42040
1565022be6a
hex3c7948408

16233301000 has 128 divisors (see below), whose sum is σ = 44910028800. Its totient is φ = 5373715200.

The previous prime is 16233300991. The next prime is 16233301033. The reversal of 16233301000 is 10333261.

It is a super-2 number, since 2×162333010002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163017 + ... + 242983.

It is an arithmetic number, because the mean of its divisors is an integer number (350859600).

Almost surely, 216233301000 is an apocalyptic number.

16233301000 is a gapful number since it is divisible by the number (10) 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 16233301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455014400).

16233301000 is an abundant number, since it is smaller than the sum of its proper divisors (28676727800).

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

16233301000 is a wasteful number, since it uses less digits than its factorization.

16233301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80024 (or 80010 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 16233301000 its reverse (10333261), we get a palindrome (16243634261).

The spelling of 16233301000 in words is "sixteen billion, two hundred thirty-three million, three hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 125 140 145 175 200 203 232 250 280 290 350 406 500 580 700 725 812 875 1000 1015 1160 1400 1450 1624 1750 2030 2900 3500 3625 4060 5075 5800 7000 7250 8120 10150 14500 20300 25375 29000 40600 50750 79967 101500 159934 203000 319868 399835 559769 639736 799670 1119538 1599340 1999175 2239076 2319043 2798845 3198680 3998350 4478152 4638086 5597690 7996700 9276172 9995875 11195380 11595215 13994225 15993400 16233301 18552344 19991750 22390760 23190430 27988450 32466602 39983500 46380860 55976900 57976075 64933204 69971125 79967000 81166505 92761720 111953800 115952150 129866408 139942250 162333010 231904300 279884500 289880375 324666020 405832525 463808600 559769000 579760750 649332040 811665050 1159521500 1623330100 2029162625 2319043000 3246660200 4058325250 8116650500 16233301000