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224331411133242 = 232711987148528241
BaseRepresentation
bin110011000000011100111010…
…000100101001001100111010
31002102021212120202022012011200
4303000130322010221030322
5213400421212222230432
62113040232204235030
765152260331446150
oct6300347204511472
91072255522265150
10224331411133242
116552a4653055a6
12211b0b1b83ba76
139823490a0b0ca
143d579abd3b3d0
151ae059500ba7c
hexcc073a12933a

224331411133242 has 48 divisors (see below), whose sum is σ = 555533648309952. Its totient is φ = 64089341447040.

The previous prime is 224331411133087. The next prime is 224331411133373. The reversal of 224331411133242 is 242331114133422.

224331411133242 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 314 + 1 + 1 + 1 + 332 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 224331411133197 and 224331411133206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72753759 + ... + 75774482.

It is an arithmetic number, because the mean of its divisors is an integer number (11573617673124).

Almost surely, 2224331411133242 is an apocalyptic number.

224331411133242 is an abundant number, since it is smaller than the sum of its proper divisors (331202237176710).

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

224331411133242 is a wasteful number, since it uses less digits than its factorization.

224331411133242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148540243 (or 148540240 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 224331411133242 its reverse (242331114133422), we get a palindrome (466662525266664).

The spelling of 224331411133242 in words is "two hundred twenty-four trillion, three hundred thirty-one billion, four hundred eleven million, one hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 11987 23974 35961 71922 83909 107883 167818 215766 251727 503454 755181 1510362 148528241 297056482 445584723 891169446 1039697687 1336754169 2079395374 2673508338 3119093061 6238186122 9357279183 18714558366 1780408024867 3560816049734 5341224074601 10682448149202 12462856174069 16023672223803 24925712348138 32047344447606 37388568522207 74777137044414 112165705566621 224331411133242