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223476530135040 = 2143457413283
BaseRepresentation
bin110010110100000000101111…
…001100011100000000000000
31002022021010222121212212210000
4302310000233030130000000
5213242414413203310130
62111143411201440000
765033434514040000
oct6264005714340000
91068233877785700
10223476530135040
116522a956270646
12210932b9940000
1397909919ca900
143d28470d20000
151ac820dac8260
hexcb402f31c000

223476530135040 has 4500 divisors, whose sum is σ = 1024275503906424. Its totient is φ = 46583006625792.

The previous prime is 223476530135039. The next prime is 223476530135069. The reversal of 223476530135040 is 40531035674322.

It is a happy number.

223476530135040 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 76 + 530 + 1 + 3 + 5 + 0 + 40 = 666.

It is a super-3 number, since 3×2234765301350403 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 2692488314839 + ... + 2692488314921.

Almost surely, 2223476530135040 is an apocalyptic number.

223476530135040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223476530135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512137751953212).

223476530135040 is an abundant number, since it is smaller than the sum of its proper divisors (800798973771384).

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

223476530135040 is an frugal number, since it uses more digits than its factorization.

223476530135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 223476530135040 in words is "two hundred twenty-three trillion, four hundred seventy-six billion, five hundred thirty million, one hundred thirty-five thousand, forty".