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2240044200225 = 3252131859341189
BaseRepresentation
bin100000100110001101000…
…010011111000100100001
321221010221112100200021100
4200212031002133010201
5243200102303401400
64433021225145013
7320560245353346
oct40461502370441
97833845320240
102240044200225
11793aa760a337
1230217632b169
13133309b40380
147a5c0d667cd
153d406c6a100
hex2098d09f121

2240044200225 has 72 divisors (see below), whose sum is σ = 4321133664120. Its totient is φ = 1102704906240.

The previous prime is 2240044200221. The next prime is 2240044200227. The reversal of 2240044200225 is 5220024400422.

It can be written as a sum of positive squares in 12 ways, for example, as 1726217588736 + 513826611489 = 1313856^2 + 716817^2 .

It is not a de Polignac number, because 2240044200225 - 22 = 2240044200221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2240044200221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54363931 + ... + 54405119.

It is an arithmetic number, because the mean of its divisors is an integer number (60015745335).

Almost surely, 22240044200225 is an apocalyptic number.

2240044200225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2240044200225 is a deficient number, since it is larger than the sum of its proper divisors (2081089463895).

2240044200225 is a wasteful number, since it uses less digits than its factorization.

2240044200225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59811 (or 59803 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 2240044200225 its reverse (5220024400422), we get a palindrome (7460068600647).

The spelling of 2240044200225 in words is "two trillion, two hundred forty billion, forty-four million, two hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 18593 41189 55779 92965 123567 167337 205945 241709 278895 370701 464825 535457 617835 725127 836685 1029725 1208545 1394475 1606371 1853505 2175381 2677285 3089175 3625635 4183425 4819113 6042725 8031855 9267525 10876905 13386425 18128175 24095565 40159275 54384525 120477825 765827077 2297481231 3829135385 6892443693 9955752001 11487406155 19145676925 29867256003 34462218465 49778760005 57437030775 89601768009 149336280015 172311092325 248893800025 448008840045 746681400075 2240044200225