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220294706327424 = 27332325711719209
BaseRepresentation
bin110010000101101101011011…
…101101110110111110000000
31001212222222010212001011101000
4302011231123231312332000
5212333302024304434144
62100305554015012000
764254524120650251
oct6205553355667600
91055888125034330
10220294706327424
1164213507718073
122085a70b50a000
1395bc91774bb81
143c5846bd18b28
151a705869bd769
hexc85b5bb76f80

220294706327424 has 512 divisors, whose sum is σ = 681739348608000. Its totient is φ = 69898249175040.

The previous prime is 220294706327407. The next prime is 220294706327429. The reversal of 220294706327424 is 424723607492022.

220294706327424 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 94 + 70 + 63 + 2 + 7 + 424 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220294706327429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23921670532 + ... + 23921679740.

It is an arithmetic number, because the mean of its divisors is an integer number (1331522165250).

Almost surely, 2220294706327424 is an apocalyptic number.

220294706327424 is a gapful number since it is divisible by the number (24) 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 220294706327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340869674304000).

220294706327424 is an abundant number, since it is smaller than the sum of its proper divisors (461444642280576).

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

220294706327424 is a wasteful number, since it uses less digits than its factorization.

220294706327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10683 (or 10665 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 220294706327424 in words is "two hundred twenty trillion, two hundred ninety-four billion, seven hundred six million, three hundred twenty-seven thousand, four hundred twenty-four".