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224232112013301 = 3274775728507941
BaseRepresentation
bin110010111111000000011011…
…011000100011111111110101
31002101221101021102111020121200
4302333000123120203333311
5213342304331133411201
62112522450555403113
765142143525035560
oct6277003330437765
91071841242436550
10224232112013301
11654a1339570017
1221195828753499
139816cc74884c2
143d52c6c0034d7
151adcbd25ba386
hexcbf01b623ff5

224232112013301 has 24 divisors (see below), whose sum is σ = 378036711646464. Its totient is φ = 125406409148640.

The previous prime is 224232112013291. The next prime is 224232112013333. The reversal of 224232112013301 is 103310211232422.

224232112013301 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 321 + 1 + 2 + 0 + 1 + 330 + 1 = 666.

It is not a de Polignac number, because 224232112013301 - 219 = 224232111489013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224232112013341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37864251010 + ... + 37864256931.

It is an arithmetic number, because the mean of its divisors is an integer number (15751529651936).

Almost surely, 2224232112013301 is an apocalyptic number.

224232112013301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

224232112013301 is a deficient number, since it is larger than the sum of its proper divisors (153804599633163).

224232112013301 is a wasteful number, since it uses less digits than its factorization.

224232112013301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75728508001 (or 75728507998 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 224232112013301 its reverse (103310211232422), we get a palindrome (327542323245723).

The spelling of 224232112013301 in words is "two hundred twenty-four trillion, two hundred thirty-two billion, one hundred twelve million, thirteen thousand, three hundred one".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 75728507941 227185523823 530099555587 681556571469 1590298666761 3559239873227 4770896000283 10677719619681 24914679112589 32033158859043 74744037337767 224232112013301