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223424020424322 = 23251563240723883
BaseRepresentation
bin110010110011001111110101…
…010111110010011010000010
31002022002010110010121012021100
4302303033311113302122002
5213241034343212034242
62111103324504235230
765026565335622244
oct6263176527623202
91068063403535240
10223424020424322
116520a65a971803
12210850a446bb16
139788a4400b773
143d25acd172094
151ac6b88c3a54c
hexcb33f55f2682

223424020424322 has 24 divisors (see below), whose sum is σ = 484094767828464. Its totient is φ = 74473228822104.

The previous prime is 223424020424309. The next prime is 223424020424383.

223424020424322 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 2 + 402 + 0 + 4 + 243 + 2 + 2 = 666.

223424020424322 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119433808 + ... + 121290075.

It is an arithmetic number, because the mean of its divisors is an integer number (20170615326186).

Almost surely, 2223424020424322 is an apocalyptic number.

223424020424322 is an abundant number, since it is smaller than the sum of its proper divisors (260670747404142).

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

223424020424322 is a wasteful number, since it uses less digits than its factorization.

223424020424322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240775454 (or 240775451 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 223424020424322 in words is "two hundred twenty-three trillion, four hundred twenty-four billion, twenty million, four hundred twenty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 51563 103126 154689 309378 464067 928134 240723883 481447766 722171649 1444343298 2166514947 4333029894 12412445579129 24824891158258 37237336737387 74474673474774 111712010212161 223424020424322