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2230341400 = 2352710315467
BaseRepresentation
bin1000010011110000…
…0100111100011000
312202102210002020001
42010330010330120
514031431411100
61005151542344
7106161406030
oct20474047430
95672702201
102230341400
11a44a73561
12522b2a9b4
132970c5b51
141722d88c0
15d0c11d6a
hex84f04f18

2230341400 has 96 divisors (see below), whose sum is σ = 5984259840. Its totient is φ = 757215360.

The previous prime is 2230341397. The next prime is 2230341409. The reversal of 2230341400 is 41430322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230341409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 136467 + ... + 151933.

It is an arithmetic number, because the mean of its divisors is an integer number (62336040).

Almost surely, 22230341400 is an apocalyptic number.

2230341400 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 2230341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992129920).

2230341400 is an abundant number, since it is smaller than the sum of its proper divisors (3753918440).

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

2230341400 is a wasteful number, since it uses less digits than its factorization.

2230341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15593 (or 15584 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2230341400 is about 47226.4904476291. The cubic root of 2230341400 is about 1306.5432240853.

Adding to 2230341400 its reverse (41430322), we get a palindrome (2271771722).

The spelling of 2230341400 in words is "two billion, two hundred thirty million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 103 140 175 200 206 280 350 412 515 700 721 824 1030 1400 1442 2060 2575 2884 3605 4120 5150 5768 7210 10300 14420 15467 18025 20600 28840 30934 36050 61868 72100 77335 108269 123736 144200 154670 216538 309340 386675 433076 541345 618680 773350 866152 1082690 1546700 1593101 2165380 2706725 3093400 3186202 4330760 5413450 6372404 7965505 10826900 11151707 12744808 15931010 21653800 22303414 31862020 39827525 44606828 55758535 63724040 79655050 89213656 111517070 159310100 223034140 278792675 318620200 446068280 557585350 1115170700 2230341400