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224342032200440 = 23571172838322143
BaseRepresentation
bin110011000000100110110011…
…001000110011001011111000
31002102022212222221201022022212
4303000212303020303023320
5213401104440220403230
62113045150134434252
765153114460152510
oct6300466310631370
91072285887638285
10224342032200440
1165533a15657590
12211b2ba4802988
13982449428c25b
143d582d876c840
151ae09b7699895
hexcc09b32332f8

224342032200440 has 64 divisors (see below), whose sum is σ = 629323103324160. Its totient is φ = 69924789256320.

The previous prime is 224342032200427. The next prime is 224342032200457. The reversal of 224342032200440 is 44002230243422.

It is a junction number, because it is equal to n+sod(n) for n = 224342032200397 and 224342032200406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36419157992 + ... + 36419164151.

It is an arithmetic number, because the mean of its divisors is an integer number (9833173489440).

Almost surely, 2224342032200440 is an apocalyptic number.

224342032200440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224342032200440 is an abundant number, since it is smaller than the sum of its proper divisors (404981071123720).

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

224342032200440 is a wasteful number, since it uses less digits than its factorization.

224342032200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72838322172 (or 72838322168 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 224342032200440 its reverse (44002230243422), we get a palindrome (268344262443862).

The spelling of 224342032200440 in words is "two hundred twenty-four trillion, three hundred forty-two billion, thirty-two million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 72838322143 145676644286 291353288572 364191610715 509868255001 582706577144 728383221430 801221543573 1019736510002 1456766442860 1602443087146 2039473020004 2549341275005 2913532885720 3204886174292 4006107717865 4078946040008 5098682550010 5608550805011 6409772348584 8012215435730 10197365100020 11217101610022 16024430871460 20394730200040 22434203220044 28042754025055 32048861742920 44868406440088 56085508050110 112171016100220 224342032200440