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223234042770432 = 210371015631753
BaseRepresentation
bin110010110000011110111001…
…110100100011010000000000
31002021101222002021010110000000
4302300132321310203100000
5213224431304422123212
62110440145320000000
765010061453330221
oct6260367164432000
91067358067113000
10223234042770432
1165147031498581
1221054305300000
139773b59202005
143d1a82a18d248
151ac1c6a5da1dc
hexcb07b9d23400

223234042770432 has 704 divisors, whose sum is σ = 677486352625920. Its totient is φ = 73501787750400.

The previous prime is 223234042770289. The next prime is 223234042770463. The reversal of 223234042770432 is 234077240432322.

It is a happy number.

223234042770432 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 340 + 4 + 277 + 0 + 4 + 32 = 666.

It is a super-3 number, since 3×2232340427704323 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127344005268 + ... + 127344007020.

Almost surely, 2223234042770432 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 223234042770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338743176312960).

223234042770432 is an abundant number, since it is smaller than the sum of its proper divisors (454252309855488).

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

223234042770432 is an equidigital number, since it uses as much as digits as its factorization.

223234042770432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 45.

The spelling of 223234042770432 in words is "two hundred twenty-three trillion, two hundred thirty-four billion, forty-two million, seven hundred seventy thousand, four hundred thirty-two".