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220159795392 = 26331278111237
BaseRepresentation
bin1100110100001010001…
…0111110000011000000
3210001021022111101211000
43031002202332003000
512101341401423032
6245050124252000
721622523245455
oct3150242760300
9701238441730
10220159795392
1185407512929
12368030a1000
13179b7b453a4
14a9276c182c
155ad8256e7c
hex33428be0c0

220159795392 has 224 divisors, whose sum is σ = 653657661440. Its totient is φ = 72660188160.

The previous prime is 220159795313. The next prime is 220159795393. The reversal of 220159795392 is 293597951022.

220159795392 is a `hidden beast` number, since 2 + 2 + 0 + 15 + 97 + 9 + 539 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (220159795393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177978198 + ... + 177979434.

It is an arithmetic number, because the mean of its divisors is an integer number (2918114560).

Almost surely, 2220159795392 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 220159795392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326828830720).

220159795392 is an abundant number, since it is smaller than the sum of its proper divisors (433497866048).

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

220159795392 is a wasteful number, since it uses less digits than its factorization.

220159795392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 220159795392 in words is "two hundred twenty billion, one hundred fifty-nine million, seven hundred ninety-five thousand, three hundred ninety-two".