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224044400420 = 22529386283449
BaseRepresentation
bin1101000010101000010…
…1100011111100100100
3210102022001001210010022
43100222011203330210
512132320331303140
6250531413014312
722121012660531
oct3205205437444
9712261053108
10224044400420
1187020250105
1237508024398
1318186892c49
14abb5597d88
155c642d60b5
hex342a163f24

224044400420 has 24 divisors (see below), whose sum is σ = 486717147000. Its totient is φ = 86527492352.

The previous prime is 224044400381. The next prime is 224044400429. The reversal of 224044400420 is 24004440422.

It can be written as a sum of positive squares in 4 ways, for example, as 11787010624 + 212257389796 = 108568^2 + 460714^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 224044400420.

It is not an unprimeable number, because it can be changed into a prime (224044400429) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 193141145 + ... + 193142304.

It is an arithmetic number, because the mean of its divisors is an integer number (20279881125).

Almost surely, 2224044400420 is an apocalyptic number.

224044400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224044400420 is an abundant number, since it is smaller than the sum of its proper divisors (262672746580).

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

224044400420 is a wasteful number, since it uses less digits than its factorization.

224044400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386283487 (or 386283485 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 224044400420 its reverse (24004440422), we get a palindrome (248048840842).

The spelling of 224044400420 in words is "two hundred twenty-four billion, forty-four million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 386283449 772566898 1545133796 1931417245 3862834490 7725668980 11202220021 22404440042 44808880084 56011100105 112022200210 224044400420