Search a number
-
+
4230223431400 = 2352223200347353
BaseRepresentation
bin111101100011101100111…
…101110000011011101000
3112222101221112200210001201
4331203230331300123220
51023301444144301100
612555200545053544
7614423610613351
oct75435475603350
915871845623051
104230223431400
11139103393314a
12583a193272b4
13248ba687c215
14108a5b3cad28
157508799036a
hex3d8ecf706e8

4230223431400 has 96 divisors (see below), whose sum is σ = 9884514850560. Its totient is φ = 1683624983040.

The previous prime is 4230223431391. The next prime is 4230223431409. The reversal of 4230223431400 is 41343220324.

It is an interprime number because it is at equal distance from previous prime (4230223431391) and next prime (4230223431409).

It is not an unprimeable number, because it can be changed into a prime (4230223431409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89310124 + ... + 89357476.

It is an arithmetic number, because the mean of its divisors is an integer number (102963696360).

Almost surely, 24230223431400 is an apocalyptic number.

4230223431400 is a gapful number since it is divisible by the number (40) 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 4230223431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942257425280).

4230223431400 is an abundant number, since it is smaller than the sum of its proper divisors (5654291419160).

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

4230223431400 is a wasteful number, since it uses less digits than its factorization.

4230223431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49595 (or 49586 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4230223431400 its reverse (41343220324), we get a palindrome (4271566651724).

The spelling of 4230223431400 in words is "four trillion, two hundred thirty billion, two hundred twenty-three million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 223 446 892 1115 1784 2003 2230 4006 4460 5575 8012 8920 10015 11150 16024 20030 22300 40060 44600 47353 50075 80120 94706 100150 189412 200300 236765 378824 400600 446669 473530 893338 947060 1183825 1786676 1894120 2233345 2367650 3573352 4466690 4735300 8933380 9470600 10559719 11166725 17866760 21119438 22333450 42238876 44666900 52798595 84477752 89333800 94848059 105597190 189696118 211194380 263992975 379392236 422388760 474240295 527985950 758784472 948480590 1055971900 1896961180 2111943800 2371201475 3793922360 4742402950 9484805900 18969611800 21151117157 42302234314 84604468628 105755585785 169208937256 211511171570 423022343140 528777928925 846044686280 1057555857850 2115111715700 4230223431400