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224120101400 = 23521386200039
BaseRepresentation
bin1101000010111010011…
…0010101101000011000
3210102111022111210100022
43100232212111220120
512132444221221100
6250543115330012
722122622300226
oct3205646255030
9712438453308
10224120101400
1187059a553a8
1237529450908
1318199479620
14abc1661b16
155c6ac8ae85
hex342e995a18

224120101400 has 48 divisors (see below), whose sum is σ = 561162260400. Its totient is φ = 82752036480.

The previous prime is 224120101397. The next prime is 224120101453. The reversal of 224120101400 is 4101021422.

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 11 ways as a sum of consecutive naturals, for example, 43097420 + ... + 43102619.

It is an arithmetic number, because the mean of its divisors is an integer number (11690880425).

Almost surely, 2224120101400 is an apocalyptic number.

224120101400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224120101400 is an abundant number, since it is smaller than the sum of its proper divisors (337042159000).

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

224120101400 is a wasteful number, since it uses less digits than its factorization.

224120101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86200068 (or 86200059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 224120101400 its reverse (4101021422), we get a palindrome (228221122822).

The spelling of 224120101400 in words is "two hundred twenty-four billion, one hundred twenty million, one hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 86200039 172400078 344800156 431000195 689600312 862000390 1120600507 1724000780 2155000975 2241201014 3448001560 4310001950 4482402028 5603002535 8620003900 8964804056 11206005070 17240007800 22412010140 28015012675 44824020280 56030025350 112060050700 224120101400