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221108992 = 281329279
BaseRepresentation
bin11010010110111…
…01101100000000
3120102001111111221
431023131230000
5423100441432
633535044424
75323252426
oct1513355400
9512044457
10221108992
111038a0505
1262070714
1336a68430
1421519116
1514628b97
hexd2ddb00

221108992 has 108 divisors (see below), whose sum is σ = 498490720. Its totient is φ = 97284096.

The previous prime is 221108989. The next prime is 221108999. The reversal of 221108992 is 299801122.

It is not an unprimeable number, because it can be changed into a prime (221108999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2798809 + ... + 2798887.

Almost surely, 2221108992 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 221108992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249245360).

221108992 is an abundant number, since it is smaller than the sum of its proper divisors (277381728).

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

221108992 is an equidigital number, since it uses as much as digits as its factorization.

221108992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 221108992 is about 14869.7340931168. The cubic root of 221108992 is about 604.6937338375.

The spelling of 221108992 in words is "two hundred twenty-one million, one hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 79 104 116 128 158 208 232 256 316 377 416 464 632 754 832 841 928 1027 1264 1508 1664 1682 1856 2054 2291 2528 3016 3328 3364 3712 4108 4582 5056 6032 6728 7424 8216 9164 10112 10933 12064 13456 16432 18328 20224 21866 24128 26912 29783 32864 36656 43732 48256 53824 59566 65728 66439 73312 87464 96512 107648 119132 131456 132878 146624 174928 215296 238264 262912 265756 293248 349856 476528 531512 586496 699712 863707 953056 1063024 1399424 1727414 1906112 2126048 2798848 3454828 3812224 4252096 6909656 7624448 8504192 13819312 17008384 27638624 55277248 110554496 221108992