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224456022521432 = 231313128435794951
BaseRepresentation
bin110011000010010000111101…
…011111010111011001011000
31002102201210020010121121001022
4303002100331133113121120
5213404441413231141212
62113213401230542012
765164261323665042
oct6302207537273130
91072653203547038
10224456022521432
11655782a017a939
12212110b7967908
13983215c39c130
143d5da2d8a6a92
151ae3939c54772
hexcc243d7d7658

224456022521432 has 64 divisors (see below), whose sum is σ = 456848981487360. Its totient is φ = 102768106896000.

The previous prime is 224456022521369. The next prime is 224456022521473. The reversal of 224456022521432 is 234125220654422.

It is a super-2 number, since 2×2244560225214322 (a number of 30 digits) contains 22 as substring.

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, 35835557 + ... + 41630507.

It is an arithmetic number, because the mean of its divisors is an integer number (7138265335740).

Almost surely, 2224456022521432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224456022521432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228424490743680).

224456022521432 is an abundant number, since it is smaller than the sum of its proper divisors (232392958965928).

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

224456022521432 is a wasteful number, since it uses less digits than its factorization.

224456022521432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797944 (or 5797940 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 44.

The spelling of 224456022521432 in words is "two hundred twenty-four trillion, four hundred fifty-six billion, twenty-two million, five hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 131 262 524 1048 1703 2843 3406 5686 6812 11372 13624 22744 36959 73918 147836 295672 372433 744866 1489732 2979464 4841629 5794951 9683258 11589902 19366516 23179804 38733032 46359608 75334363 150668726 301337452 602674904 759138581 1518277162 3036554324 6073108648 9868801553 16475045693 19737603106 32950091386 39475206212 65900182772 78950412424 131800365544 214175594009 428351188018 856702376036 1713404752072 2158230985783 4316461971566 8632923943132 17265847886264 28057002815179 56114005630358 112228011260716 224456022521432