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224501540040 = 23325623615389
BaseRepresentation
bin1101000100010101010…
…1011010010011001000
3210110110220020212210100
43101011111122103020
512134234343240130
6251045023045400
722135233414231
oct3210525322310
9713426225710
10224501540040
11872352a2948
1237615140860
131822a4bc56b
14ac1a194088
155c8e4d4c60
hex344555a4c8

224501540040 has 48 divisors (see below), whose sum is σ = 729630006300. Its totient is φ = 59867077248.

The previous prime is 224501540023. The next prime is 224501540047. The reversal of 224501540040 is 40045105422.

224501540040 is a `hidden beast` number, since 2 + 245 + 0 + 15 + 400 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 185366413764 + 39135126276 = 430542^2 + 197826^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224501539986 and 224501540013.

It is not an unprimeable number, because it can be changed into a prime (224501540047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311807335 + ... + 311808054.

Almost surely, 2224501540040 is an apocalyptic number.

224501540040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224501540040 is an abundant number, since it is smaller than the sum of its proper divisors (505128466260).

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

224501540040 is a wasteful number, since it uses less digits than its factorization.

224501540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623615406 (or 623615399 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 224501540040 its reverse (40045105422), we get a palindrome (264546645462).

The spelling of 224501540040 in words is "two hundred twenty-four billion, five hundred one million, five hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 623615389 1247230778 1870846167 2494461556 3118076945 3741692334 4988923112 5612538501 6236153890 7483384668 9354230835 11225077002 12472307780 14966769336 18708461670 22450154004 24944615560 28062692505 37416923340 44900308008 56125385010 74833846680 112250770020 224501540040