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2014331000 = 2353111491229
BaseRepresentation
bin111100000010000…
…0100000001111000
312012101022121122212
41320010010001320
513111132043000
6531514034252
7100626350063
oct17004040170
95171277585
102014331000
11944045770
12482718988
13261424346
141517498da
15bbc93c35
hex78104078

2014331000 has 128 divisors (see below), whose sum is σ = 5180760000. Its totient is φ = 726976000.

The previous prime is 2014330963. The next prime is 2014331021. The reversal of 2014331000 is 1334102.

It is a super-2 number, since 2×20143310002 = 8115058755122000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1638386 + ... + 1639614.

Almost surely, 22014331000 is an apocalyptic number.

2014331000 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 2014331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590380000).

2014331000 is an abundant number, since it is smaller than the sum of its proper divisors (3166429000).

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

2014331000 is a wasteful number, since it uses less digits than its factorization.

2014331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2014331000 is about 44881.2990008088. The cubic root of 2014331000 is about 1262.9232120356.

Adding to 2014331000 its reverse (1334102), we get a palindrome (2015665102).

The spelling of 2014331000 in words is "two billion, fourteen million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 149 200 220 250 275 298 440 500 550 596 745 1000 1100 1192 1229 1375 1490 1639 2200 2458 2750 2980 3278 3725 4916 5500 5960 6145 6556 7450 8195 9832 11000 12290 13112 13519 14900 16390 18625 24580 27038 29800 30725 32780 37250 40975 49160 54076 61450 65560 67595 74500 81950 108152 122900 135190 149000 153625 163900 183121 204875 245800 270380 307250 327800 337975 366242 409750 540760 614500 675950 732484 819500 915605 1229000 1351900 1464968 1639000 1689875 1831210 2014331 2703800 3379750 3662420 4028662 4578025 6759500 7324840 8057324 9156050 10071655 13519000 16114648 18312100 20143310 22890125 36624200 40286620 45780250 50358275 80573240 91560500 100716550 183121000 201433100 251791375 402866200 503582750 1007165500 2014331000