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2423200140 = 2232522958787
BaseRepresentation
bin1001000001101111…
…0001100110001100
320020212200022200100
42100123301212030
514430314401030
61040241331100
7114022601304
oct22033614614
96225608610
102423200140
111033919149
12577636a90
132c804c84a
1418db7c604
15e2b0a360
hex906f198c

2423200140 has 72 divisors (see below), whose sum is σ = 7382597040. Its totient is φ = 643353984.

The previous prime is 2423200097. The next prime is 2423200201. The reversal of 2423200140 is 410023242.

2423200140 is a `hidden beast` number, since 2 + 423 + 200 + 1 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11827 + ... + 70613.

It is an arithmetic number, because the mean of its divisors is an integer number (102536070).

Almost surely, 22423200140 is an apocalyptic number.

2423200140 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 2423200140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691298520).

2423200140 is an abundant number, since it is smaller than the sum of its proper divisors (4959396900).

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

2423200140 is a wasteful number, since it uses less digits than its factorization.

2423200140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59031 (or 59026 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2423200140 is about 49226.0108072958. The cubic root of 2423200140 is about 1343.1662225992.

Adding to 2423200140 its reverse (410023242), we get a palindrome (2833223382).

The spelling of 2423200140 in words is "two billion, four hundred twenty-three million, two hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 916 1145 1374 2061 2290 2748 3435 4122 4580 6870 8244 10305 13740 20610 41220 58787 117574 176361 235148 293935 352722 529083 587870 705444 881805 1058166 1175740 1763610 2116332 2645415 3527220 5290830 10581660 13462223 26924446 40386669 53848892 67311115 80773338 121160007 134622230 161546676 201933345 242320014 269244460 403866690 484640028 605800035 807733380 1211600070 2423200140