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2140322310 = 2325710133637
BaseRepresentation
bin111111110010010…
…1011101000000110
312112011101122020200
41333210223220012
513340410303220
6552214311330
7104016303510
oct17744535006
95464348220
102140322310
119a9179915
124b8958546
13281568309
14164384bb0
15c7d7e890
hex7f92ba06

2140322310 has 96 divisors (see below), whose sum is σ = 6422974272. Its totient is φ = 484358400.

The previous prime is 2140322299. The next prime is 2140322323. The reversal of 2140322310 is 132230412.

It is a super-2 number, since 2×21403223102 = 9161959181367472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 46812 + ... + 80448.

It is an arithmetic number, because the mean of its divisors is an integer number (66905982).

Almost surely, 22140322310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140322310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211487136).

2140322310 is an abundant number, since it is smaller than the sum of its proper divisors (4282651962).

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

2140322310 is a wasteful number, since it uses less digits than its factorization.

2140322310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33758 (or 33755 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2140322310 is about 46263.6175628322. The cubic root of 2140322310 is about 1288.7234351821.

Adding to 2140322310 its reverse (132230412), we get a palindrome (2272552722).

The spelling of 2140322310 in words is "two billion, one hundred forty million, three hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 101 105 126 202 210 303 315 505 606 630 707 909 1010 1414 1515 1818 2121 3030 3535 4242 4545 6363 7070 9090 10605 12726 21210 31815 33637 63630 67274 100911 168185 201822 235459 302733 336370 470918 504555 605466 706377 1009110 1177295 1412754 1513665 2119131 2354590 3027330 3397337 3531885 4238262 6794674 7063770 10192011 10595655 16986685 20384022 21191310 23781359 30576033 33973370 47562718 50960055 61152066 71344077 101920110 118906795 142688154 152880165 214032231 237813590 305760330 356720385 428064462 713440770 1070161155 2140322310