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221221120192 = 267349679533
BaseRepresentation
bin1100111000000111001…
…1100110100011000000
3210011000021120021201221
43032001303212203000
512111030101321232
6245343320204424
721661031332042
oct3160163464300
9704007507657
10221221120192
1185901611966
1236a5a609714
1317b269a4527
14a9c8633a92
155b4b4ed897
hex3381ce68c0

221221120192 has 56 divisors (see below), whose sum is σ = 445135442976. Its totient is φ = 109061941248.

The previous prime is 221221120189. The next prime is 221221120199. The reversal of 221221120192 is 291021122122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221221120199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23201058 + ... + 23210590.

It is an arithmetic number, because the mean of its divisors is an integer number (7948847196).

Almost surely, 2221221120192 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 221221120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222567721488).

221221120192 is an abundant number, since it is smaller than the sum of its proper divisors (223914322784).

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

221221120192 is an equidigital number, since it uses as much as digits as its factorization.

221221120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14585 (or 14575 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 221221120192 in words is "two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 4967 9533 9934 19066 19868 38132 39736 76264 79472 152528 158944 305056 317888 362591 610112 695909 725182 1391818 1450364 2783636 2900728 5567272 5801456 11134544 11602912 22269088 23205824 44538176 47350411 94700822 189401644 378803288 757606576 1515213152 3030426304 3456580003 6913160006 13826320012 27652640024 55305280048 110610560096 221221120192