Search a number
-
+
2200123140 = 2235417911321
BaseRepresentation
bin1000001100100011…
…0011011100000100
312200022220211120020
42003020303130010
514001212420030
61002152135140
7105343511115
oct20310633404
95608824506
102200123140
11a29a04096
125149974b0
13290a75717
1416c2b020c
15cd243510
hex83233704

2200123140 has 96 divisors (see below), whose sum is σ = 6391042560. Its totient is φ = 565094400.

The previous prime is 2200123139. The next prime is 2200123147. The reversal of 2200123140 is 413210022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2200123147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188680 + ... + 200000.

It is an arithmetic number, because the mean of its divisors is an integer number (66573360).

Almost surely, 22200123140 is an apocalyptic number.

2200123140 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 2200123140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195521280).

2200123140 is an abundant number, since it is smaller than the sum of its proper divisors (4190919420).

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

2200123140 is a wasteful number, since it uses less digits than its factorization.

2200123140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11453 (or 11451 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2200123140 is about 46905.4702566769. The cubic root of 2200123140 is about 1300.6157122821.

Adding to 2200123140 its reverse (413210022), we get a palindrome (2613333162).

The spelling of 2200123140 in words is "two billion, two hundred million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 79 82 123 158 164 205 237 246 316 395 410 474 492 615 790 820 948 1185 1230 1580 2370 2460 3239 4740 6478 9717 11321 12956 16195 19434 22642 32390 33963 38868 45284 48585 56605 64780 67926 97170 113210 135852 169815 194340 226420 339630 464161 679260 894359 928322 1392483 1788718 1856644 2320805 2683077 2784966 3577436 4471795 4641610 5366154 5569932 6962415 8943590 9283220 10732308 13415385 13924830 17887180 26830770 27849660 36668719 53661540 73337438 110006157 146674876 183343595 220012314 366687190 440024628 550030785 733374380 1100061570 2200123140