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224201100442112 = 29538262127817
BaseRepresentation
bin110010111110100011100010…
…111100110011101000000000
31002101211102020011202012102222
4302332203202330303220000
5213341302323203121422
62112500321430030212
765136665163033563
oct6276434274635000
91071742204665388
10224201100442112
116548a17531a642
122118b812aa8368
1398140c4664491
143d515694b84da
151adbeb9c76842
hexcbe8e2f33a00

224201100442112 has 40 divisors (see below), whose sum is σ = 456416464921956. Its totient is φ = 109985445486592.

The previous prime is 224201100442031. The next prime is 224201100442177. The reversal of 224201100442112 is 211244001102422.

It can be written as a sum of positive squares in 2 ways, for example, as 198120713687296 + 26080386754816 = 14075536^2 + 5106896^2 .

It is a super-2 number, since 2×2242011004421122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4131036773 + ... + 4131091044.

Almost surely, 2224201100442112 is an apocalyptic number.

It is an amenable number.

224201100442112 is an abundant number, since it is smaller than the sum of its proper divisors (232215364479844).

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

224201100442112 is an frugal number, since it uses more digits than its factorization.

224201100442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262127888 (or 8262127872 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 224201100442112 its reverse (211244001102422), we get a palindrome (435445101544534).

The spelling of 224201100442112 in words is "two hundred twenty-four trillion, two hundred one billion, one hundred million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1696 3392 6784 13568 27136 8262127817 16524255634 33048511268 66097022536 132194045072 264388090144 437892774301 528776180288 875785548602 1057552360576 1751571097204 2115104721152 3503142194408 4230209442304 7006284388816 14012568777632 28025137555264 56050275110528 112100550221056 224201100442112